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Finding the Third Proportional to 62,540 and 130,264

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Solution

The third proportional to 62,540 and 130,264 is: 271,325.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,540 : 130,264 = 130,264 : x
  2. Step 2: Convert to fraction form
    62,540/130,264 = 130,264/x
  3. Step 3: Cross multiply
    62,540x = 130,264 × 130,264
  4. Step 4: Simplify right side
    62,540x = 16,968,709,696
  5. Step 5: Solve for x
    x = 16,968,709,696/62,540
  6. Step 6: Final answer
    x = 271,325.71

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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.