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Finding the Third Proportional to 90,586.50 and 149,717.25

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Solution

The third proportional to 90,586.50 and 149,717.25 is: 247,445.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,586.50 : 149,717.25 = 149,717.25 : x
  2. Step 2: Convert to fraction form
    90,586.50/149,717.25 = 149,717.25/x
  3. Step 3: Cross multiply
    90,586.50x = 149,717.25 × 149,717.25
  4. Step 4: Simplify right side
    90,586.50x = 22,415,254,947.56
  5. Step 5: Solve for x
    x = 22,415,254,947.56/90,586.50
  6. Step 6: Final answer
    x = 247,445.87

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.