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Finding the Third Proportional to 71,031.75 and 110,282.75

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Solution

The third proportional to 71,031.75 and 110,282.75 is: 171,223.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,031.75 : 110,282.75 = 110,282.75 : x
  2. Step 2: Convert to fraction form
    71,031.75/110,282.75 = 110,282.75/x
  3. Step 3: Cross multiply
    71,031.75x = 110,282.75 × 110,282.75
  4. Step 4: Simplify right side
    71,031.75x = 12,162,284,947.56
  5. Step 5: Solve for x
    x = 12,162,284,947.56/71,031.75
  6. Step 6: Final answer
    x = 171,223.22

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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.