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Finding the Third Proportional to 71,000 and 151,470

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Solution

The third proportional to 71,000 and 151,470 is: 323,143.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,000 : 151,470 = 151,470 : x
  2. Step 2: Convert to fraction form
    71,000/151,470 = 151,470/x
  3. Step 3: Cross multiply
    71,000x = 151,470 × 151,470
  4. Step 4: Simplify right side
    71,000x = 22,943,160,900
  5. Step 5: Solve for x
    x = 22,943,160,900/71,000
  6. Step 6: Final answer
    x = 323,143.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.