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Finding the Third Proportional to 85,860 and 124,891.88

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Solution

The third proportional to 85,860 and 124,891.88 is: 181,667.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,860 : 124,891.88 = 124,891.88 : x
  2. Step 2: Convert to fraction form
    85,860/124,891.88 = 124,891.88/x
  3. Step 3: Cross multiply
    85,860x = 124,891.88 × 124,891.88
  4. Step 4: Simplify right side
    85,860x = 15,597,980,441.02
  5. Step 5: Solve for x
    x = 15,597,980,441.02/85,860
  6. Step 6: Final answer
    x = 181,667.60

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.