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Finding the Third Proportional to 107,274.38 and 150,047.44

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Solution

The third proportional to 107,274.38 and 150,047.44 is: 209,875.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,274.38 : 150,047.44 = 150,047.44 : x
  2. Step 2: Convert to fraction form
    107,274.38/150,047.44 = 150,047.44/x
  3. Step 3: Cross multiply
    107,274.38x = 150,047.44 × 150,047.44
  4. Step 4: Simplify right side
    107,274.38x = 22,514,233,500.32
  5. Step 5: Solve for x
    x = 22,514,233,500.32/107,274.38
  6. Step 6: Final answer
    x = 209,875.22

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.