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Finding the Third Proportional to 71,265 and 112,092

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Solution

The third proportional to 71,265 and 112,092 is: 176,308.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,265 : 112,092 = 112,092 : x
  2. Step 2: Convert to fraction form
    71,265/112,092 = 112,092/x
  3. Step 3: Cross multiply
    71,265x = 112,092 × 112,092
  4. Step 4: Simplify right side
    71,265x = 12,564,616,464
  5. Step 5: Solve for x
    x = 12,564,616,464/71,265
  6. Step 6: Final answer
    x = 176,308.38

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.