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Finding the Third Proportional to 120,937.50 and 181,527.75

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Solution

The third proportional to 120,937.50 and 181,527.75 is: 272,474.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,937.50 : 181,527.75 = 181,527.75 : x
  2. Step 2: Convert to fraction form
    120,937.50/181,527.75 = 181,527.75/x
  3. Step 3: Cross multiply
    120,937.50x = 181,527.75 × 181,527.75
  4. Step 4: Simplify right side
    120,937.50x = 32,952,324,020.06
  5. Step 5: Solve for x
    x = 32,952,324,020.06/120,937.50
  6. Step 6: Final answer
    x = 272,474.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.