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Finding the Third Proportional to 71,359 and 168,758

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Solution

The third proportional to 71,359 and 168,758 is: 399,098.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,359 : 168,758 = 168,758 : x
  2. Step 2: Convert to fraction form
    71,359/168,758 = 168,758/x
  3. Step 3: Cross multiply
    71,359x = 168,758 × 168,758
  4. Step 4: Simplify right side
    71,359x = 28,479,262,564
  5. Step 5: Solve for x
    x = 28,479,262,564/71,359
  6. Step 6: Final answer
    x = 399,098.40

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.