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Finding the Third Proportional to 83,041.88 and 121,794.75

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Solution

The third proportional to 83,041.88 and 121,794.75 is: 178,632.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,041.88 : 121,794.75 = 121,794.75 : x
  2. Step 2: Convert to fraction form
    83,041.88/121,794.75 = 121,794.75/x
  3. Step 3: Cross multiply
    83,041.88x = 121,794.75 × 121,794.75
  4. Step 4: Simplify right side
    83,041.88x = 14,833,961,127.56
  5. Step 5: Solve for x
    x = 14,833,961,127.56/83,041.88
  6. Step 6: Final answer
    x = 178,632.30

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.