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Finding the Third Proportional to 83,159.50 and 128,020

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Solution

The third proportional to 83,159.50 and 128,020 is: 197,080.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,159.50 : 128,020 = 128,020 : x
  2. Step 2: Convert to fraction form
    83,159.50/128,020 = 128,020/x
  3. Step 3: Cross multiply
    83,159.50x = 128,020 × 128,020
  4. Step 4: Simplify right side
    83,159.50x = 16,389,120,400
  5. Step 5: Solve for x
    x = 16,389,120,400/83,159.50
  6. Step 6: Final answer
    x = 197,080.55

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.