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Finding the Third Proportional to 71,572 and 94,140

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Solution

The third proportional to 71,572 and 94,140 is: 123,824.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,572 : 94,140 = 94,140 : x
  2. Step 2: Convert to fraction form
    71,572/94,140 = 94,140/x
  3. Step 3: Cross multiply
    71,572x = 94,140 × 94,140
  4. Step 4: Simplify right side
    71,572x = 8,862,339,600
  5. Step 5: Solve for x
    x = 8,862,339,600/71,572
  6. Step 6: Final answer
    x = 123,824.12

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.