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Finding the Third Proportional to 120,757.50 and 177,441.75

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Solution

The third proportional to 120,757.50 and 177,441.75 is: 260,733.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,757.50 : 177,441.75 = 177,441.75 : x
  2. Step 2: Convert to fraction form
    120,757.50/177,441.75 = 177,441.75/x
  3. Step 3: Cross multiply
    120,757.50x = 177,441.75 × 177,441.75
  4. Step 4: Simplify right side
    120,757.50x = 31,485,574,643.06
  5. Step 5: Solve for x
    x = 31,485,574,643.06/120,757.50
  6. Step 6: Final answer
    x = 260,733.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.