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Finding the Third Proportional to 57,744 and 90,262

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Solution

The third proportional to 57,744 and 90,262 is: 141,092.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,744 : 90,262 = 90,262 : x
  2. Step 2: Convert to fraction form
    57,744/90,262 = 90,262/x
  3. Step 3: Cross multiply
    57,744x = 90,262 × 90,262
  4. Step 4: Simplify right side
    57,744x = 8,147,228,644
  5. Step 5: Solve for x
    x = 8,147,228,644/57,744
  6. Step 6: Final answer
    x = 141,092.21

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.