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Finding the Third Proportional to 70,689 and 152,449

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Solution

The third proportional to 70,689 and 152,449 is: 328,773.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,689 : 152,449 = 152,449 : x
  2. Step 2: Convert to fraction form
    70,689/152,449 = 152,449/x
  3. Step 3: Cross multiply
    70,689x = 152,449 × 152,449
  4. Step 4: Simplify right side
    70,689x = 23,240,697,601
  5. Step 5: Solve for x
    x = 23,240,697,601/70,689
  6. Step 6: Final answer
    x = 328,773.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.