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Finding the Third Proportional to 89,868 and 139,180

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Solution

The third proportional to 89,868 and 139,180 is: 215,550.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,868 : 139,180 = 139,180 : x
  2. Step 2: Convert to fraction form
    89,868/139,180 = 139,180/x
  3. Step 3: Cross multiply
    89,868x = 139,180 × 139,180
  4. Step 4: Simplify right side
    89,868x = 19,371,072,400
  5. Step 5: Solve for x
    x = 19,371,072,400/89,868
  6. Step 6: Final answer
    x = 215,550.28

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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.