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Finding the Third Proportional to 122,941 and 183,624

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Solution

The third proportional to 122,941 and 183,624 is: 274,259.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,941 : 183,624 = 183,624 : x
  2. Step 2: Convert to fraction form
    122,941/183,624 = 183,624/x
  3. Step 3: Cross multiply
    122,941x = 183,624 × 183,624
  4. Step 4: Simplify right side
    122,941x = 33,717,773,376
  5. Step 5: Solve for x
    x = 33,717,773,376/122,941
  6. Step 6: Final answer
    x = 274,259.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.