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Finding the Third Proportional to 80,304 and 127,260

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Solution

The third proportional to 80,304 and 127,260 is: 201,672.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,304 : 127,260 = 127,260 : x
  2. Step 2: Convert to fraction form
    80,304/127,260 = 127,260/x
  3. Step 3: Cross multiply
    80,304x = 127,260 × 127,260
  4. Step 4: Simplify right side
    80,304x = 16,195,107,600
  5. Step 5: Solve for x
    x = 16,195,107,600/80,304
  6. Step 6: Final answer
    x = 201,672.49

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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.