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Finding the Third Proportional to 71,342 and 168,716

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Solution

The third proportional to 71,342 and 168,716 is: 398,994.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,342 : 168,716 = 168,716 : x
  2. Step 2: Convert to fraction form
    71,342/168,716 = 168,716/x
  3. Step 3: Cross multiply
    71,342x = 168,716 × 168,716
  4. Step 4: Simplify right side
    71,342x = 28,465,088,656
  5. Step 5: Solve for x
    x = 28,465,088,656/71,342
  6. Step 6: Final answer
    x = 398,994.82

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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.