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Finding the Third Proportional to 62,708 and 134,042

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Solution

The third proportional to 62,708 and 134,042 is: 286,522.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,708 : 134,042 = 134,042 : x
  2. Step 2: Convert to fraction form
    62,708/134,042 = 134,042/x
  3. Step 3: Cross multiply
    62,708x = 134,042 × 134,042
  4. Step 4: Simplify right side
    62,708x = 17,967,257,764
  5. Step 5: Solve for x
    x = 17,967,257,764/62,708
  6. Step 6: Final answer
    x = 286,522.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.