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Finding the Third Proportional to 75,032.25 and 105,525.75

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Solution

The third proportional to 75,032.25 and 105,525.75 is: 148,411.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,032.25 : 105,525.75 = 105,525.75 : x
  2. Step 2: Convert to fraction form
    75,032.25/105,525.75 = 105,525.75/x
  3. Step 3: Cross multiply
    75,032.25x = 105,525.75 × 105,525.75
  4. Step 4: Simplify right side
    75,032.25x = 11,135,683,913.06
  5. Step 5: Solve for x
    x = 11,135,683,913.06/75,032.25
  6. Step 6: Final answer
    x = 148,411.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.