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Finding the Third Proportional to 89,738.16 and 138,934.41

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Solution

The third proportional to 89,738.16 and 138,934.41 is: 215,101.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,738.16 : 138,934.41 = 138,934.41 : x
  2. Step 2: Convert to fraction form
    89,738.16/138,934.41 = 138,934.41/x
  3. Step 3: Cross multiply
    89,738.16x = 138,934.41 × 138,934.41
  4. Step 4: Simplify right side
    89,738.16x = 19,302,769,240.04
  5. Step 5: Solve for x
    x = 19,302,769,240.04/89,738.16
  6. Step 6: Final answer
    x = 215,101.02

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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.