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Finding the Third Proportional to 62,442 and 134,862

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Solution

The third proportional to 62,442 and 134,862 is: 291,274.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,442 : 134,862 = 134,862 : x
  2. Step 2: Convert to fraction form
    62,442/134,862 = 134,862/x
  3. Step 3: Cross multiply
    62,442x = 134,862 × 134,862
  4. Step 4: Simplify right side
    62,442x = 18,187,759,044
  5. Step 5: Solve for x
    x = 18,187,759,044/62,442
  6. Step 6: Final answer
    x = 291,274.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.