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Finding the Third Proportional to 83,990.25 and 130,052.25

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Solution

The third proportional to 83,990.25 and 130,052.25 is: 201,375.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,990.25 : 130,052.25 = 130,052.25 : x
  2. Step 2: Convert to fraction form
    83,990.25/130,052.25 = 130,052.25/x
  3. Step 3: Cross multiply
    83,990.25x = 130,052.25 × 130,052.25
  4. Step 4: Simplify right side
    83,990.25x = 16,913,587,730.06
  5. Step 5: Solve for x
    x = 16,913,587,730.06/83,990.25
  6. Step 6: Final answer
    x = 201,375.61

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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.