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Finding the Third Proportional to 103,108 and 156,822

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Solution

The third proportional to 103,108 and 156,822 is: 238,518.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,108 : 156,822 = 156,822 : x
  2. Step 2: Convert to fraction form
    103,108/156,822 = 156,822/x
  3. Step 3: Cross multiply
    103,108x = 156,822 × 156,822
  4. Step 4: Simplify right side
    103,108x = 24,593,139,684
  5. Step 5: Solve for x
    x = 24,593,139,684/103,108
  6. Step 6: Final answer
    x = 238,518.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.