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Finding the Third Proportional to 51,174.28 and 112,182.47

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Solution

The third proportional to 51,174.28 and 112,182.47 is: 245,922.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,174.28 : 112,182.47 = 112,182.47 : x
  2. Step 2: Convert to fraction form
    51,174.28/112,182.47 = 112,182.47/x
  3. Step 3: Cross multiply
    51,174.28x = 112,182.47 × 112,182.47
  4. Step 4: Simplify right side
    51,174.28x = 12,584,906,294.84
  5. Step 5: Solve for x
    x = 12,584,906,294.84/51,174.28
  6. Step 6: Final answer
    x = 245,922.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.