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Finding the Third Proportional to 83,036.81 and 128,930.06

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Solution

The third proportional to 83,036.81 and 128,930.06 is: 200,187.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,036.81 : 128,930.06 = 128,930.06 : x
  2. Step 2: Convert to fraction form
    83,036.81/128,930.06 = 128,930.06/x
  3. Step 3: Cross multiply
    83,036.81x = 128,930.06 × 128,930.06
  4. Step 4: Simplify right side
    83,036.81x = 16,622,961,016.25
  5. Step 5: Solve for x
    x = 16,622,961,016.25/83,036.81
  6. Step 6: Final answer
    x = 200,187.85

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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.