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Finding the Third Proportional to 62,436 and 135,959

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Solution

The third proportional to 62,436 and 135,959 is: 296,060.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,436 : 135,959 = 135,959 : x
  2. Step 2: Convert to fraction form
    62,436/135,959 = 135,959/x
  3. Step 3: Cross multiply
    62,436x = 135,959 × 135,959
  4. Step 4: Simplify right side
    62,436x = 18,484,849,681
  5. Step 5: Solve for x
    x = 18,484,849,681/62,436
  6. Step 6: Final answer
    x = 296,060.76

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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.