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Finding the Third Proportional to 89,860 and 139,713

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Solution

The third proportional to 89,860 and 139,713 is: 217,223.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,860 : 139,713 = 139,713 : x
  2. Step 2: Convert to fraction form
    89,860/139,713 = 139,713/x
  3. Step 3: Cross multiply
    89,860x = 139,713 × 139,713
  4. Step 4: Simplify right side
    89,860x = 19,519,722,369
  5. Step 5: Solve for x
    x = 19,519,722,369/89,860
  6. Step 6: Final answer
    x = 217,223.71

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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.