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Finding the Third Proportional to 83,336.50 and 127,055

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Solution

The third proportional to 83,336.50 and 127,055 is: 193,708.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,336.50 : 127,055 = 127,055 : x
  2. Step 2: Convert to fraction form
    83,336.50/127,055 = 127,055/x
  3. Step 3: Cross multiply
    83,336.50x = 127,055 × 127,055
  4. Step 4: Simplify right side
    83,336.50x = 16,142,973,025
  5. Step 5: Solve for x
    x = 16,142,973,025/83,336.50
  6. Step 6: Final answer
    x = 193,708.32

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.