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Finding the Third Proportional to 70,951 and 151,542

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Solution

The third proportional to 70,951 and 151,542 is: 323,673.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,951 : 151,542 = 151,542 : x
  2. Step 2: Convert to fraction form
    70,951/151,542 = 151,542/x
  3. Step 3: Cross multiply
    70,951x = 151,542 × 151,542
  4. Step 4: Simplify right side
    70,951x = 22,964,977,764
  5. Step 5: Solve for x
    x = 22,964,977,764/70,951
  6. Step 6: Final answer
    x = 323,673.77

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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.