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Finding the Third Proportional to 100,878.75 and 152,074.13

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Solution

The third proportional to 100,878.75 and 152,074.13 is: 229,250.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,878.75 : 152,074.13 = 152,074.13 : x
  2. Step 2: Convert to fraction form
    100,878.75/152,074.13 = 152,074.13/x
  3. Step 3: Cross multiply
    100,878.75x = 152,074.13 × 152,074.13
  4. Step 4: Simplify right side
    100,878.75x = 23,126,539,494.52
  5. Step 5: Solve for x
    x = 23,126,539,494.52/100,878.75
  6. Step 6: Final answer
    x = 229,250.85

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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.