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Finding the Third Proportional to 71,570.25 and 108,087.75

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Solution

The third proportional to 71,570.25 and 108,087.75 is: 163,237.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,570.25 : 108,087.75 = 108,087.75 : x
  2. Step 2: Convert to fraction form
    71,570.25/108,087.75 = 108,087.75/x
  3. Step 3: Cross multiply
    71,570.25x = 108,087.75 × 108,087.75
  4. Step 4: Simplify right side
    71,570.25x = 11,682,961,700.06
  5. Step 5: Solve for x
    x = 11,682,961,700.06/71,570.25
  6. Step 6: Final answer
    x = 163,237.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.