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Finding the Third Proportional to 74,282.06 and 111,776.20

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Solution

The third proportional to 74,282.06 and 111,776.20 is: 168,195.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,282.06 : 111,776.20 = 111,776.20 : x
  2. Step 2: Convert to fraction form
    74,282.06/111,776.20 = 111,776.20/x
  3. Step 3: Cross multiply
    74,282.06x = 111,776.20 × 111,776.20
  4. Step 4: Simplify right side
    74,282.06x = 12,493,919,585.04
  5. Step 5: Solve for x
    x = 12,493,919,585.04/74,282.06
  6. Step 6: Final answer
    x = 168,195.65

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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.