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Finding the Third Proportional to 70,948 and 152,659

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Solution

The third proportional to 70,948 and 152,659 is: 328,476.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,948 : 152,659 = 152,659 : x
  2. Step 2: Convert to fraction form
    70,948/152,659 = 152,659/x
  3. Step 3: Cross multiply
    70,948x = 152,659 × 152,659
  4. Step 4: Simplify right side
    70,948x = 23,304,770,281
  5. Step 5: Solve for x
    x = 23,304,770,281/70,948
  6. Step 6: Final answer
    x = 328,476.78

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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.