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Finding the Third Proportional to 124,571 and 292,450

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Solution

The third proportional to 124,571 and 292,450 is: 686,572.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,571 : 292,450 = 292,450 : x
  2. Step 2: Convert to fraction form
    124,571/292,450 = 292,450/x
  3. Step 3: Cross multiply
    124,571x = 292,450 × 292,450
  4. Step 4: Simplify right side
    124,571x = 85,527,002,500
  5. Step 5: Solve for x
    x = 85,527,002,500/124,571
  6. Step 6: Final answer
    x = 686,572.34

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.