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Finding the Third Proportional to 61,029 and 81,457

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Solution

The third proportional to 61,029 and 81,457 is: 108,722.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,029 : 81,457 = 81,457 : x
  2. Step 2: Convert to fraction form
    61,029/81,457 = 81,457/x
  3. Step 3: Cross multiply
    61,029x = 81,457 × 81,457
  4. Step 4: Simplify right side
    61,029x = 6,635,242,849
  5. Step 5: Solve for x
    x = 6,635,242,849/61,029
  6. Step 6: Final answer
    x = 108,722.79

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.