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Finding the Third Proportional to 78,477 and 167,727

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Solution

The third proportional to 78,477 and 167,727 is: 358,478.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,477 : 167,727 = 167,727 : x
  2. Step 2: Convert to fraction form
    78,477/167,727 = 167,727/x
  3. Step 3: Cross multiply
    78,477x = 167,727 × 167,727
  4. Step 4: Simplify right side
    78,477x = 28,132,346,529
  5. Step 5: Solve for x
    x = 28,132,346,529/78,477
  6. Step 6: Final answer
    x = 358,478.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.