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Finding the Third Proportional to 95,100.75 and 125,074.13

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Solution

The third proportional to 95,100.75 and 125,074.13 is: 164,494.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,100.75 : 125,074.13 = 125,074.13 : x
  2. Step 2: Convert to fraction form
    95,100.75/125,074.13 = 125,074.13/x
  3. Step 3: Cross multiply
    95,100.75x = 125,074.13 × 125,074.13
  4. Step 4: Simplify right side
    95,100.75x = 15,643,536,744.52
  5. Step 5: Solve for x
    x = 15,643,536,744.52/95,100.75
  6. Step 6: Final answer
    x = 164,494.36

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.