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Finding the Third Proportional to 80,403 and 127,429

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Solution

The third proportional to 80,403 and 127,429 is: 201,959.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,403 : 127,429 = 127,429 : x
  2. Step 2: Convert to fraction form
    80,403/127,429 = 127,429/x
  3. Step 3: Cross multiply
    80,403x = 127,429 × 127,429
  4. Step 4: Simplify right side
    80,403x = 16,238,150,041
  5. Step 5: Solve for x
    x = 16,238,150,041/80,403
  6. Step 6: Final answer
    x = 201,959.50

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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.