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Finding the Third Proportional to 85,993 and 132,877

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Solution

The third proportional to 85,993 and 132,877 is: 205,322.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,993 : 132,877 = 132,877 : x
  2. Step 2: Convert to fraction form
    85,993/132,877 = 132,877/x
  3. Step 3: Cross multiply
    85,993x = 132,877 × 132,877
  4. Step 4: Simplify right side
    85,993x = 17,656,297,129
  5. Step 5: Solve for x
    x = 17,656,297,129/85,993
  6. Step 6: Final answer
    x = 205,322.49

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Why These Related Problems?

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