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Finding the Third Proportional to 107,536 and 170,812

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Solution

The third proportional to 107,536 and 170,812 is: 271,320.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,536 : 170,812 = 170,812 : x
  2. Step 2: Convert to fraction form
    107,536/170,812 = 170,812/x
  3. Step 3: Cross multiply
    107,536x = 170,812 × 170,812
  4. Step 4: Simplify right side
    107,536x = 29,176,739,344
  5. Step 5: Solve for x
    x = 29,176,739,344/107,536
  6. Step 6: Final answer
    x = 271,320.67

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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.