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Finding the Third Proportional to 102,467 and 156,810

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Solution

The third proportional to 102,467 and 156,810 is: 239,973.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,467 : 156,810 = 156,810 : x
  2. Step 2: Convert to fraction form
    102,467/156,810 = 156,810/x
  3. Step 3: Cross multiply
    102,467x = 156,810 × 156,810
  4. Step 4: Simplify right side
    102,467x = 24,589,376,100
  5. Step 5: Solve for x
    x = 24,589,376,100/102,467
  6. Step 6: Final answer
    x = 239,973.61

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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.