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Finding the Third Proportional to 75,174.75 and 112,392.56

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Solution

The third proportional to 75,174.75 and 112,392.56 is: 168,036.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,174.75 : 112,392.56 = 112,392.56 : x
  2. Step 2: Convert to fraction form
    75,174.75/112,392.56 = 112,392.56/x
  3. Step 3: Cross multiply
    75,174.75x = 112,392.56 × 112,392.56
  4. Step 4: Simplify right side
    75,174.75x = 12,632,088,105.32
  5. Step 5: Solve for x
    x = 12,632,088,105.32/75,174.75
  6. Step 6: Final answer
    x = 168,036.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.