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Finding the Third Proportional to 113,565.75 and 176,340.75

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Solution

The third proportional to 113,565.75 and 176,340.75 is: 273,815.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,565.75 : 176,340.75 = 176,340.75 : x
  2. Step 2: Convert to fraction form
    113,565.75/176,340.75 = 176,340.75/x
  3. Step 3: Cross multiply
    113,565.75x = 176,340.75 × 176,340.75
  4. Step 4: Simplify right side
    113,565.75x = 31,096,060,110.56
  5. Step 5: Solve for x
    x = 31,096,060,110.56/113,565.75
  6. Step 6: Final answer
    x = 273,815.48

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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.