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Finding the Third Proportional to 83,193.75 and 129,066.75

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Solution

The third proportional to 83,193.75 and 129,066.75 is: 200,234.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,193.75 : 129,066.75 = 129,066.75 : x
  2. Step 2: Convert to fraction form
    83,193.75/129,066.75 = 129,066.75/x
  3. Step 3: Cross multiply
    83,193.75x = 129,066.75 × 129,066.75
  4. Step 4: Simplify right side
    83,193.75x = 16,658,225,955.56
  5. Step 5: Solve for x
    x = 16,658,225,955.56/83,193.75
  6. Step 6: Final answer
    x = 200,234.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.