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Finding the Third Proportional to 83,271.38 and 126,977.63

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Solution

The third proportional to 83,271.38 and 126,977.63 is: 193,623.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,271.38 : 126,977.63 = 126,977.63 : x
  2. Step 2: Convert to fraction form
    83,271.38/126,977.63 = 126,977.63/x
  3. Step 3: Cross multiply
    83,271.38x = 126,977.63 × 126,977.63
  4. Step 4: Simplify right side
    83,271.38x = 16,123,317,250.64
  5. Step 5: Solve for x
    x = 16,123,317,250.64/83,271.38
  6. Step 6: Final answer
    x = 193,623.77

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Why These Related Problems?

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