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Finding the Third Proportional to 89,451 and 125,377.88

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Solution

The third proportional to 89,451 and 125,377.88 is: 175,734.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,451 : 125,377.88 = 125,377.88 : x
  2. Step 2: Convert to fraction form
    89,451/125,377.88 = 125,377.88/x
  3. Step 3: Cross multiply
    89,451x = 125,377.88 × 125,377.88
  4. Step 4: Simplify right side
    89,451x = 15,719,611,539.52
  5. Step 5: Solve for x
    x = 15,719,611,539.52/89,451
  6. Step 6: Final answer
    x = 175,734.33

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.