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Finding the Third Proportional to 89,702 and 138,894

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Solution

The third proportional to 89,702 and 138,894 is: 215,062.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,702 : 138,894 = 138,894 : x
  2. Step 2: Convert to fraction form
    89,702/138,894 = 138,894/x
  3. Step 3: Cross multiply
    89,702x = 138,894 × 138,894
  4. Step 4: Simplify right side
    89,702x = 19,291,543,236
  5. Step 5: Solve for x
    x = 19,291,543,236/89,702
  6. Step 6: Final answer
    x = 215,062.58

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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.