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Finding the Third Proportional to 102,348 and 156,762

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Solution

The third proportional to 102,348 and 156,762 is: 240,105.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,348 : 156,762 = 156,762 : x
  2. Step 2: Convert to fraction form
    102,348/156,762 = 156,762/x
  3. Step 3: Cross multiply
    102,348x = 156,762 × 156,762
  4. Step 4: Simplify right side
    102,348x = 24,574,324,644
  5. Step 5: Solve for x
    x = 24,574,324,644/102,348
  6. Step 6: Final answer
    x = 240,105.57

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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.