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Finding the Third Proportional to 109,540.50 and 176,358.75

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Solution

The third proportional to 109,540.50 and 176,358.75 is: 283,935.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,540.50 : 176,358.75 = 176,358.75 : x
  2. Step 2: Convert to fraction form
    109,540.50/176,358.75 = 176,358.75/x
  3. Step 3: Cross multiply
    109,540.50x = 176,358.75 × 176,358.75
  4. Step 4: Simplify right side
    109,540.50x = 31,102,408,701.56
  5. Step 5: Solve for x
    x = 31,102,408,701.56/109,540.50
  6. Step 6: Final answer
    x = 283,935.24

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.