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Finding the Third Proportional to 71,454 and 155,206

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Solution

The third proportional to 71,454 and 155,206 is: 337,124.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,454 : 155,206 = 155,206 : x
  2. Step 2: Convert to fraction form
    71,454/155,206 = 155,206/x
  3. Step 3: Cross multiply
    71,454x = 155,206 × 155,206
  4. Step 4: Simplify right side
    71,454x = 24,088,902,436
  5. Step 5: Solve for x
    x = 24,088,902,436/71,454
  6. Step 6: Final answer
    x = 337,124.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.