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Finding the Third Proportional to 91,760.50 and 120,927.75

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Solution

The third proportional to 91,760.50 and 120,927.75 is: 159,366.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,760.50 : 120,927.75 = 120,927.75 : x
  2. Step 2: Convert to fraction form
    91,760.50/120,927.75 = 120,927.75/x
  3. Step 3: Cross multiply
    91,760.50x = 120,927.75 × 120,927.75
  4. Step 4: Simplify right side
    91,760.50x = 14,623,520,720.06
  5. Step 5: Solve for x
    x = 14,623,520,720.06/91,760.50
  6. Step 6: Final answer
    x = 159,366.18

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.