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Finding the Third Proportional to 101,691 and 153,850.50

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Solution

The third proportional to 101,691 and 153,850.50 is: 232,763.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,691 : 153,850.50 = 153,850.50 : x
  2. Step 2: Convert to fraction form
    101,691/153,850.50 = 153,850.50/x
  3. Step 3: Cross multiply
    101,691x = 153,850.50 × 153,850.50
  4. Step 4: Simplify right side
    101,691x = 23,669,976,350.25
  5. Step 5: Solve for x
    x = 23,669,976,350.25/101,691
  6. Step 6: Final answer
    x = 232,763.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.