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Finding the Third Proportional to 85,677.75 and 185,655.75

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Solution

The third proportional to 85,677.75 and 185,655.75 is: 402,298.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,677.75 : 185,655.75 = 185,655.75 : x
  2. Step 2: Convert to fraction form
    85,677.75/185,655.75 = 185,655.75/x
  3. Step 3: Cross multiply
    85,677.75x = 185,655.75 × 185,655.75
  4. Step 4: Simplify right side
    85,677.75x = 34,468,057,508.06
  5. Step 5: Solve for x
    x = 34,468,057,508.06/85,677.75
  6. Step 6: Final answer
    x = 402,298.82

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.