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Finding the Third Proportional to 71,666 and 167,352

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Solution

The third proportional to 71,666 and 167,352 is: 390,794.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,666 : 167,352 = 167,352 : x
  2. Step 2: Convert to fraction form
    71,666/167,352 = 167,352/x
  3. Step 3: Cross multiply
    71,666x = 167,352 × 167,352
  4. Step 4: Simplify right side
    71,666x = 28,006,691,904
  5. Step 5: Solve for x
    x = 28,006,691,904/71,666
  6. Step 6: Final answer
    x = 390,794.69

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.