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Finding the Third Proportional to 82,494 and 127,953

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Solution

The third proportional to 82,494 and 127,953 is: 198,462.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,494 : 127,953 = 127,953 : x
  2. Step 2: Convert to fraction form
    82,494/127,953 = 127,953/x
  3. Step 3: Cross multiply
    82,494x = 127,953 × 127,953
  4. Step 4: Simplify right side
    82,494x = 16,371,970,209
  5. Step 5: Solve for x
    x = 16,371,970,209/82,494
  6. Step 6: Final answer
    x = 198,462.56

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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.