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Finding the Third Proportional to 85,987 and 132,869

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Solution

The third proportional to 85,987 and 132,869 is: 205,312.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,987 : 132,869 = 132,869 : x
  2. Step 2: Convert to fraction form
    85,987/132,869 = 132,869/x
  3. Step 3: Cross multiply
    85,987x = 132,869 × 132,869
  4. Step 4: Simplify right side
    85,987x = 17,654,171,161
  5. Step 5: Solve for x
    x = 17,654,171,161/85,987
  6. Step 6: Final answer
    x = 205,312.10

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.