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Finding the Third Proportional to 62,438 and 135,963

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Solution

The third proportional to 62,438 and 135,963 is: 296,068.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,438 : 135,963 = 135,963 : x
  2. Step 2: Convert to fraction form
    62,438/135,963 = 135,963/x
  3. Step 3: Cross multiply
    62,438x = 135,963 × 135,963
  4. Step 4: Simplify right side
    62,438x = 18,485,937,369
  5. Step 5: Solve for x
    x = 18,485,937,369/62,438
  6. Step 6: Final answer
    x = 296,068.70

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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.