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Finding the Third Proportional to 59,702 and 125,548

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Solution

The third proportional to 59,702 and 125,548 is: 264,016.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,702 : 125,548 = 125,548 : x
  2. Step 2: Convert to fraction form
    59,702/125,548 = 125,548/x
  3. Step 3: Cross multiply
    59,702x = 125,548 × 125,548
  4. Step 4: Simplify right side
    59,702x = 15,762,300,304
  5. Step 5: Solve for x
    x = 15,762,300,304/59,702
  6. Step 6: Final answer
    x = 264,016.29

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.