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Finding the Third Proportional to 100,039 and 152,599

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Solution

The third proportional to 100,039 and 152,599 is: 232,773.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,039 : 152,599 = 152,599 : x
  2. Step 2: Convert to fraction form
    100,039/152,599 = 152,599/x
  3. Step 3: Cross multiply
    100,039x = 152,599 × 152,599
  4. Step 4: Simplify right side
    100,039x = 23,286,454,801
  5. Step 5: Solve for x
    x = 23,286,454,801/100,039
  6. Step 6: Final answer
    x = 232,773.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.