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Finding the Third Proportional to 124,639 and 270,418

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Solution

The third proportional to 124,639 and 270,418 is: 586,701.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,639 : 270,418 = 270,418 : x
  2. Step 2: Convert to fraction form
    124,639/270,418 = 270,418/x
  3. Step 3: Cross multiply
    124,639x = 270,418 × 270,418
  4. Step 4: Simplify right side
    124,639x = 73,125,894,724
  5. Step 5: Solve for x
    x = 73,125,894,724/124,639
  6. Step 6: Final answer
    x = 586,701.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.