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Finding the Third Proportional to 124,217 and 175,597

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Solution

The third proportional to 124,217 and 175,597 is: 248,229.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,217 : 175,597 = 175,597 : x
  2. Step 2: Convert to fraction form
    124,217/175,597 = 175,597/x
  3. Step 3: Cross multiply
    124,217x = 175,597 × 175,597
  4. Step 4: Simplify right side
    124,217x = 30,834,306,409
  5. Step 5: Solve for x
    x = 30,834,306,409/124,217
  6. Step 6: Final answer
    x = 248,229.36

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.