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Finding the Third Proportional to 70,497 and 151,239

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Solution

The third proportional to 70,497 and 151,239 is: 324,456.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,497 : 151,239 = 151,239 : x
  2. Step 2: Convert to fraction form
    70,497/151,239 = 151,239/x
  3. Step 3: Cross multiply
    70,497x = 151,239 × 151,239
  4. Step 4: Simplify right side
    70,497x = 22,873,235,121
  5. Step 5: Solve for x
    x = 22,873,235,121/70,497
  6. Step 6: Final answer
    x = 324,456.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.