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Finding the Third Proportional to 73,441.20 and 99,089.65

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Solution

The third proportional to 73,441.20 and 99,089.65 is: 133,695.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,441.20 : 99,089.65 = 99,089.65 : x
  2. Step 2: Convert to fraction form
    73,441.20/99,089.65 = 99,089.65/x
  3. Step 3: Cross multiply
    73,441.20x = 99,089.65 × 99,089.65
  4. Step 4: Simplify right side
    73,441.20x = 9,818,758,427.47
  5. Step 5: Solve for x
    x = 9,818,758,427.47/73,441.20
  6. Step 6: Final answer
    x = 133,695.51

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.