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Finding the Third Proportional to 62,491 and 136,073

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Solution

The third proportional to 62,491 and 136,073 is: 296,296.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,491 : 136,073 = 136,073 : x
  2. Step 2: Convert to fraction form
    62,491/136,073 = 136,073/x
  3. Step 3: Cross multiply
    62,491x = 136,073 × 136,073
  4. Step 4: Simplify right side
    62,491x = 18,515,861,329
  5. Step 5: Solve for x
    x = 18,515,861,329/62,491
  6. Step 6: Final answer
    x = 296,296.45

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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.