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Finding the Third Proportional to 111,251.81 and 176,882.06

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Solution

The third proportional to 111,251.81 and 176,882.06 is: 281,229.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,251.81 : 176,882.06 = 176,882.06 : x
  2. Step 2: Convert to fraction form
    111,251.81/176,882.06 = 176,882.06/x
  3. Step 3: Cross multiply
    111,251.81x = 176,882.06 × 176,882.06
  4. Step 4: Simplify right side
    111,251.81x = 31,287,264,034.25
  5. Step 5: Solve for x
    x = 31,287,264,034.25/111,251.81
  6. Step 6: Final answer
    x = 281,229.25

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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.