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Finding the Third Proportional to 69,114.38 and 150,734.25

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Solution

The third proportional to 69,114.38 and 150,734.25 is: 328,742.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,114.38 : 150,734.25 = 150,734.25 : x
  2. Step 2: Convert to fraction form
    69,114.38/150,734.25 = 150,734.25/x
  3. Step 3: Cross multiply
    69,114.38x = 150,734.25 × 150,734.25
  4. Step 4: Simplify right side
    69,114.38x = 22,720,814,123.06
  5. Step 5: Solve for x
    x = 22,720,814,123.06/69,114.38
  6. Step 6: Final answer
    x = 328,742.24

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