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Finding the Third Proportional to 62,418 and 135,942

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Solution

The third proportional to 62,418 and 135,942 is: 296,072.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,418 : 135,942 = 135,942 : x
  2. Step 2: Convert to fraction form
    62,418/135,942 = 135,942/x
  3. Step 3: Cross multiply
    62,418x = 135,942 × 135,942
  4. Step 4: Simplify right side
    62,418x = 18,480,227,364
  5. Step 5: Solve for x
    x = 18,480,227,364/62,418
  6. Step 6: Final answer
    x = 296,072.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.