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Finding the Third Proportional to 83,824.88 and 126,820.69

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Solution

The third proportional to 83,824.88 and 126,820.69 is: 191,870.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,824.88 : 126,820.69 = 126,820.69 : x
  2. Step 2: Convert to fraction form
    83,824.88/126,820.69 = 126,820.69/x
  3. Step 3: Cross multiply
    83,824.88x = 126,820.69 × 126,820.69
  4. Step 4: Simplify right side
    83,824.88x = 16,083,486,777.97
  5. Step 5: Solve for x
    x = 16,083,486,777.97/83,824.88
  6. Step 6: Final answer
    x = 191,870.10

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.