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Finding the Third Proportional to 89,669 and 138,837

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Solution

The third proportional to 89,669 and 138,837 is: 214,965.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,669 : 138,837 = 138,837 : x
  2. Step 2: Convert to fraction form
    89,669/138,837 = 138,837/x
  3. Step 3: Cross multiply
    89,669x = 138,837 × 138,837
  4. Step 4: Simplify right side
    89,669x = 19,275,712,569
  5. Step 5: Solve for x
    x = 19,275,712,569/89,669
  6. Step 6: Final answer
    x = 214,965.18

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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.