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Finding the Third Proportional to 78,923.25 and 120,733.88

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Solution

The third proportional to 78,923.25 and 120,733.88 is: 184,694.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,923.25 : 120,733.88 = 120,733.88 : x
  2. Step 2: Convert to fraction form
    78,923.25/120,733.88 = 120,733.88/x
  3. Step 3: Cross multiply
    78,923.25x = 120,733.88 × 120,733.88
  4. Step 4: Simplify right side
    78,923.25x = 14,576,668,572.52
  5. Step 5: Solve for x
    x = 14,576,668,572.52/78,923.25
  6. Step 6: Final answer
    x = 184,694.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.