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Finding the Third Proportional to 122,758 and 185,797

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Solution

The third proportional to 122,758 and 185,797 is: 281,207.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,758 : 185,797 = 185,797 : x
  2. Step 2: Convert to fraction form
    122,758/185,797 = 185,797/x
  3. Step 3: Cross multiply
    122,758x = 185,797 × 185,797
  4. Step 4: Simplify right side
    122,758x = 34,520,525,209
  5. Step 5: Solve for x
    x = 34,520,525,209/122,758
  6. Step 6: Final answer
    x = 281,207.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.