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Finding the Third Proportional to 71,061 and 102,663

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Solution

The third proportional to 71,061 and 102,663 is: 148,318.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,061 : 102,663 = 102,663 : x
  2. Step 2: Convert to fraction form
    71,061/102,663 = 102,663/x
  3. Step 3: Cross multiply
    71,061x = 102,663 × 102,663
  4. Step 4: Simplify right side
    71,061x = 10,539,691,569
  5. Step 5: Solve for x
    x = 10,539,691,569/71,061
  6. Step 6: Final answer
    x = 148,318.93

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.