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Finding the Third Proportional to 103,623 and 155,820

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Solution

The third proportional to 103,623 and 155,820 is: 234,309.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,623 : 155,820 = 155,820 : x
  2. Step 2: Convert to fraction form
    103,623/155,820 = 155,820/x
  3. Step 3: Cross multiply
    103,623x = 155,820 × 155,820
  4. Step 4: Simplify right side
    103,623x = 24,279,872,400
  5. Step 5: Solve for x
    x = 24,279,872,400/103,623
  6. Step 6: Final answer
    x = 234,309.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.