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Finding the Third Proportional to 63,124 and 94,849

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Solution

The third proportional to 63,124 and 94,849 is: 142,518.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,124 : 94,849 = 94,849 : x
  2. Step 2: Convert to fraction form
    63,124/94,849 = 94,849/x
  3. Step 3: Cross multiply
    63,124x = 94,849 × 94,849
  4. Step 4: Simplify right side
    63,124x = 8,996,332,801
  5. Step 5: Solve for x
    x = 8,996,332,801/63,124
  6. Step 6: Final answer
    x = 142,518.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.