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Finding the Third Proportional to 126,618.19 and 178,081.03

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Solution

The third proportional to 126,618.19 and 178,081.03 is: 250,460.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,618.19 : 178,081.03 = 178,081.03 : x
  2. Step 2: Convert to fraction form
    126,618.19/178,081.03 = 178,081.03/x
  3. Step 3: Cross multiply
    126,618.19x = 178,081.03 × 178,081.03
  4. Step 4: Simplify right side
    126,618.19x = 31,712,853,691.06
  5. Step 5: Solve for x
    x = 31,712,853,691.06/126,618.19
  6. Step 6: Final answer
    x = 250,460.49

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.