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Finding the Third Proportional to 78,950.44 and 121,353.84

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Solution

The third proportional to 78,950.44 and 121,353.84 is: 186,531.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,950.44 : 121,353.84 = 121,353.84 : x
  2. Step 2: Convert to fraction form
    78,950.44/121,353.84 = 121,353.84/x
  3. Step 3: Cross multiply
    78,950.44x = 121,353.84 × 121,353.84
  4. Step 4: Simplify right side
    78,950.44x = 14,726,755,392.90
  5. Step 5: Solve for x
    x = 14,726,755,392.90/78,950.44
  6. Step 6: Final answer
    x = 186,531.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.