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Finding the Third Proportional to 83,129.75 and 128,983

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Solution

The third proportional to 83,129.75 and 128,983 is: 200,128.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,129.75 : 128,983 = 128,983 : x
  2. Step 2: Convert to fraction form
    83,129.75/128,983 = 128,983/x
  3. Step 3: Cross multiply
    83,129.75x = 128,983 × 128,983
  4. Step 4: Simplify right side
    83,129.75x = 16,636,614,289
  5. Step 5: Solve for x
    x = 16,636,614,289/83,129.75
  6. Step 6: Final answer
    x = 200,128.28

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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.