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Finding the Third Proportional to 83,648 and 119,243

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Solution

The third proportional to 83,648 and 119,243 is: 169,984.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,648 : 119,243 = 119,243 : x
  2. Step 2: Convert to fraction form
    83,648/119,243 = 119,243/x
  3. Step 3: Cross multiply
    83,648x = 119,243 × 119,243
  4. Step 4: Simplify right side
    83,648x = 14,218,893,049
  5. Step 5: Solve for x
    x = 14,218,893,049/83,648
  6. Step 6: Final answer
    x = 169,984.85

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.