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Finding the Third Proportional to 88,917 and 137,073

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Solution

The third proportional to 88,917 and 137,073 is: 211,309.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,917 : 137,073 = 137,073 : x
  2. Step 2: Convert to fraction form
    88,917/137,073 = 137,073/x
  3. Step 3: Cross multiply
    88,917x = 137,073 × 137,073
  4. Step 4: Simplify right side
    88,917x = 18,789,007,329
  5. Step 5: Solve for x
    x = 18,789,007,329/88,917
  6. Step 6: Final answer
    x = 211,309.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.