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Finding the Third Proportional to 82,520 and 127,992

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Solution

The third proportional to 82,520 and 127,992 is: 198,520.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,520 : 127,992 = 127,992 : x
  2. Step 2: Convert to fraction form
    82,520/127,992 = 127,992/x
  3. Step 3: Cross multiply
    82,520x = 127,992 × 127,992
  4. Step 4: Simplify right side
    82,520x = 16,381,952,064
  5. Step 5: Solve for x
    x = 16,381,952,064/82,520
  6. Step 6: Final answer
    x = 198,520.99

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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.