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Finding the Third Proportional to 57,478 and 81,129

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Solution

The third proportional to 57,478 and 81,129 is: 114,511.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,478 : 81,129 = 81,129 : x
  2. Step 2: Convert to fraction form
    57,478/81,129 = 81,129/x
  3. Step 3: Cross multiply
    57,478x = 81,129 × 81,129
  4. Step 4: Simplify right side
    57,478x = 6,581,914,641
  5. Step 5: Solve for x
    x = 6,581,914,641/57,478
  6. Step 6: Final answer
    x = 114,511.89

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.