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Finding the Third Proportional to 75,922.88 and 181,330.88

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Solution

The third proportional to 75,922.88 and 181,330.88 is: 433,082.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,922.88 : 181,330.88 = 181,330.88 : x
  2. Step 2: Convert to fraction form
    75,922.88/181,330.88 = 181,330.88/x
  3. Step 3: Cross multiply
    75,922.88x = 181,330.88 × 181,330.88
  4. Step 4: Simplify right side
    75,922.88x = 32,880,886,228.27
  5. Step 5: Solve for x
    x = 32,880,886,228.27/75,922.88
  6. Step 6: Final answer
    x = 433,082.73

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.