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Finding the Third Proportional to 110,704.13 and 176,237.72

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Solution

The third proportional to 110,704.13 and 176,237.72 is: 280,565.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,704.13 : 176,237.72 = 176,237.72 : x
  2. Step 2: Convert to fraction form
    110,704.13/176,237.72 = 176,237.72/x
  3. Step 3: Cross multiply
    110,704.13x = 176,237.72 × 176,237.72
  4. Step 4: Simplify right side
    110,704.13x = 31,059,733,510.20
  5. Step 5: Solve for x
    x = 31,059,733,510.20/110,704.13
  6. Step 6: Final answer
    x = 280,565.28

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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.