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Finding the Third Proportional to 62,649 and 130,482

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Solution

The third proportional to 62,649 and 130,482 is: 271,760.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,649 : 130,482 = 130,482 : x
  2. Step 2: Convert to fraction form
    62,649/130,482 = 130,482/x
  3. Step 3: Cross multiply
    62,649x = 130,482 × 130,482
  4. Step 4: Simplify right side
    62,649x = 17,025,552,324
  5. Step 5: Solve for x
    x = 17,025,552,324/62,649
  6. Step 6: Final answer
    x = 271,760.96

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.