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Finding the Third Proportional to 62,842 and 130,060

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Solution

The third proportional to 62,842 and 130,060 is: 269,176.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,842 : 130,060 = 130,060 : x
  2. Step 2: Convert to fraction form
    62,842/130,060 = 130,060/x
  3. Step 3: Cross multiply
    62,842x = 130,060 × 130,060
  4. Step 4: Simplify right side
    62,842x = 16,915,603,600
  5. Step 5: Solve for x
    x = 16,915,603,600/62,842
  6. Step 6: Final answer
    x = 269,176.72

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.