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Finding the Third Proportional to 102,243 and 156,934

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Solution

The third proportional to 102,243 and 156,934 is: 240,879.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,243 : 156,934 = 156,934 : x
  2. Step 2: Convert to fraction form
    102,243/156,934 = 156,934/x
  3. Step 3: Cross multiply
    102,243x = 156,934 × 156,934
  4. Step 4: Simplify right side
    102,243x = 24,628,280,356
  5. Step 5: Solve for x
    x = 24,628,280,356/102,243
  6. Step 6: Final answer
    x = 240,879.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.