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Finding the Third Proportional to 69,270 and 151,499

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Solution

The third proportional to 69,270 and 151,499 is: 331,340.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,270 : 151,499 = 151,499 : x
  2. Step 2: Convert to fraction form
    69,270/151,499 = 151,499/x
  3. Step 3: Cross multiply
    69,270x = 151,499 × 151,499
  4. Step 4: Simplify right side
    69,270x = 22,951,947,001
  5. Step 5: Solve for x
    x = 22,951,947,001/69,270
  6. Step 6: Final answer
    x = 331,340.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.