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Finding the Third Proportional to 69,207.38 and 150,921.75

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Solution

The third proportional to 69,207.38 and 150,921.75 is: 329,117.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,207.38 : 150,921.75 = 150,921.75 : x
  2. Step 2: Convert to fraction form
    69,207.38/150,921.75 = 150,921.75/x
  3. Step 3: Cross multiply
    69,207.38x = 150,921.75 × 150,921.75
  4. Step 4: Simplify right side
    69,207.38x = 22,777,374,623.06
  5. Step 5: Solve for x
    x = 22,777,374,623.06/69,207.38
  6. Step 6: Final answer
    x = 329,117.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.