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Finding the Third Proportional to 74,577.38 and 108,344.25

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Solution

The third proportional to 74,577.38 and 108,344.25 is: 157,399.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,577.38 : 108,344.25 = 108,344.25 : x
  2. Step 2: Convert to fraction form
    74,577.38/108,344.25 = 108,344.25/x
  3. Step 3: Cross multiply
    74,577.38x = 108,344.25 × 108,344.25
  4. Step 4: Simplify right side
    74,577.38x = 11,738,476,508.06
  5. Step 5: Solve for x
    x = 11,738,476,508.06/74,577.38
  6. Step 6: Final answer
    x = 157,399.97

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.