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Finding the Third Proportional to 74,827.69 and 112,237.88

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Solution

The third proportional to 74,827.69 and 112,237.88 is: 168,351.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,827.69 : 112,237.88 = 112,237.88 : x
  2. Step 2: Convert to fraction form
    74,827.69/112,237.88 = 112,237.88/x
  3. Step 3: Cross multiply
    74,827.69x = 112,237.88 × 112,237.88
  4. Step 4: Simplify right side
    74,827.69x = 12,597,340,584.52
  5. Step 5: Solve for x
    x = 12,597,340,584.52/74,827.69
  6. Step 6: Final answer
    x = 168,351.33

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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.