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Finding the Third Proportional to 111,115.13 and 176,514.19

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Solution

The third proportional to 111,115.13 and 176,514.19 is: 280,405.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,115.13 : 176,514.19 = 176,514.19 : x
  2. Step 2: Convert to fraction form
    111,115.13/176,514.19 = 176,514.19/x
  3. Step 3: Cross multiply
    111,115.13x = 176,514.19 × 176,514.19
  4. Step 4: Simplify right side
    111,115.13x = 31,157,258,388.79
  5. Step 5: Solve for x
    x = 31,157,258,388.79/111,115.13
  6. Step 6: Final answer
    x = 280,405.20

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.