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Finding the Third Proportional to 111,253.50 and 176,884.88

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Solution

The third proportional to 111,253.50 and 176,884.88 is: 281,233.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,253.50 : 176,884.88 = 176,884.88 : x
  2. Step 2: Convert to fraction form
    111,253.50/176,884.88 = 176,884.88/x
  3. Step 3: Cross multiply
    111,253.50x = 176,884.88 × 176,884.88
  4. Step 4: Simplify right side
    111,253.50x = 31,288,259,003.77
  5. Step 5: Solve for x
    x = 31,288,259,003.77/111,253.50
  6. Step 6: Final answer
    x = 281,233.93

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