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Finding the Third Proportional to 65,691 and 100,176.75

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Solution

The third proportional to 65,691 and 100,176.75 is: 152,766.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,691 : 100,176.75 = 100,176.75 : x
  2. Step 2: Convert to fraction form
    65,691/100,176.75 = 100,176.75/x
  3. Step 3: Cross multiply
    65,691x = 100,176.75 × 100,176.75
  4. Step 4: Simplify right side
    65,691x = 10,035,381,240.56
  5. Step 5: Solve for x
    x = 10,035,381,240.56/65,691
  6. Step 6: Final answer
    x = 152,766.46

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.