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Finding the Third Proportional to 80,386 and 127,386

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Solution

The third proportional to 80,386 and 127,386 is: 201,865.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,386 : 127,386 = 127,386 : x
  2. Step 2: Convert to fraction form
    80,386/127,386 = 127,386/x
  3. Step 3: Cross multiply
    80,386x = 127,386 × 127,386
  4. Step 4: Simplify right side
    80,386x = 16,227,192,996
  5. Step 5: Solve for x
    x = 16,227,192,996/80,386
  6. Step 6: Final answer
    x = 201,865.91

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.