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Finding the Third Proportional to 83,227.50 and 128,725.45

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Solution

The third proportional to 83,227.50 and 128,725.45 is: 199,095.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,227.50 : 128,725.45 = 128,725.45 : x
  2. Step 2: Convert to fraction form
    83,227.50/128,725.45 = 128,725.45/x
  3. Step 3: Cross multiply
    83,227.50x = 128,725.45 × 128,725.45
  4. Step 4: Simplify right side
    83,227.50x = 16,570,242,282.24
  5. Step 5: Solve for x
    x = 16,570,242,282.24/83,227.50
  6. Step 6: Final answer
    x = 199,095.76

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