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Finding the Third Proportional to 83,037 and 128,931

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Solution

The third proportional to 83,037 and 128,931 is: 200,190.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,037 : 128,931 = 128,931 : x
  2. Step 2: Convert to fraction form
    83,037/128,931 = 128,931/x
  3. Step 3: Cross multiply
    83,037x = 128,931 × 128,931
  4. Step 4: Simplify right side
    83,037x = 16,623,202,761
  5. Step 5: Solve for x
    x = 16,623,202,761/83,037
  6. Step 6: Final answer
    x = 200,190.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.