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Finding the Third Proportional to 62,561 and 136,138

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Solution

The third proportional to 62,561 and 136,138 is: 296,247.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,561 : 136,138 = 136,138 : x
  2. Step 2: Convert to fraction form
    62,561/136,138 = 136,138/x
  3. Step 3: Cross multiply
    62,561x = 136,138 × 136,138
  4. Step 4: Simplify right side
    62,561x = 18,533,555,044
  5. Step 5: Solve for x
    x = 18,533,555,044/62,561
  6. Step 6: Final answer
    x = 296,247.74

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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.