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Finding the Third Proportional to 42,289.13 and 100,184.44

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Solution

The third proportional to 42,289.13 and 100,184.44 is: 237,340.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,289.13 : 100,184.44 = 100,184.44 : x
  2. Step 2: Convert to fraction form
    42,289.13/100,184.44 = 100,184.44/x
  3. Step 3: Cross multiply
    42,289.13x = 100,184.44 × 100,184.44
  4. Step 4: Simplify right side
    42,289.13x = 10,036,921,517.19
  5. Step 5: Solve for x
    x = 10,036,921,517.19/42,289.13
  6. Step 6: Final answer
    x = 237,340.49

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.