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Finding the Third Proportional to 75,107.25 and 105,644.25

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Solution

The third proportional to 75,107.25 and 105,644.25 is: 148,596.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,107.25 : 105,644.25 = 105,644.25 : x
  2. Step 2: Convert to fraction form
    75,107.25/105,644.25 = 105,644.25/x
  3. Step 3: Cross multiply
    75,107.25x = 105,644.25 × 105,644.25
  4. Step 4: Simplify right side
    75,107.25x = 11,160,707,558.06
  5. Step 5: Solve for x
    x = 11,160,707,558.06/75,107.25
  6. Step 6: Final answer
    x = 148,596.94

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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.