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Finding the Third Proportional to 124,080 and 271,792

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Solution

The third proportional to 124,080 and 271,792 is: 595,348.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,080 : 271,792 = 271,792 : x
  2. Step 2: Convert to fraction form
    124,080/271,792 = 271,792/x
  3. Step 3: Cross multiply
    124,080x = 271,792 × 271,792
  4. Step 4: Simplify right side
    124,080x = 73,870,891,264
  5. Step 5: Solve for x
    x = 73,870,891,264/124,080
  6. Step 6: Final answer
    x = 595,348.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.