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Finding the Third Proportional to 63,954 and 89,457

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Solution

The third proportional to 63,954 and 89,457 is: 125,129.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,954 : 89,457 = 89,457 : x
  2. Step 2: Convert to fraction form
    63,954/89,457 = 89,457/x
  3. Step 3: Cross multiply
    63,954x = 89,457 × 89,457
  4. Step 4: Simplify right side
    63,954x = 8,002,554,849
  5. Step 5: Solve for x
    x = 8,002,554,849/63,954
  6. Step 6: Final answer
    x = 125,129.86

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.