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Finding the Third Proportional to 85,177.83 and 123,800.91

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Solution

The third proportional to 85,177.83 and 123,800.91 is: 179,937.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,177.83 : 123,800.91 = 123,800.91 : x
  2. Step 2: Convert to fraction form
    85,177.83/123,800.91 = 123,800.91/x
  3. Step 3: Cross multiply
    85,177.83x = 123,800.91 × 123,800.91
  4. Step 4: Simplify right side
    85,177.83x = 15,326,664,388.32
  5. Step 5: Solve for x
    x = 15,326,664,388.32/85,177.83
  6. Step 6: Final answer
    x = 179,937.25

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