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Finding the Third Proportional to 62,342 and 133,440

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Solution

The third proportional to 62,342 and 133,440 is: 285,621.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,342 : 133,440 = 133,440 : x
  2. Step 2: Convert to fraction form
    62,342/133,440 = 133,440/x
  3. Step 3: Cross multiply
    62,342x = 133,440 × 133,440
  4. Step 4: Simplify right side
    62,342x = 17,806,233,600
  5. Step 5: Solve for x
    x = 17,806,233,600/62,342
  6. Step 6: Final answer
    x = 285,621.79

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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.