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Finding the Third Proportional to 122,861 and 185,157

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Solution

The third proportional to 122,861 and 185,157 is: 279,039.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,861 : 185,157 = 185,157 : x
  2. Step 2: Convert to fraction form
    122,861/185,157 = 185,157/x
  3. Step 3: Cross multiply
    122,861x = 185,157 × 185,157
  4. Step 4: Simplify right side
    122,861x = 34,283,114,649
  5. Step 5: Solve for x
    x = 34,283,114,649/122,861
  6. Step 6: Final answer
    x = 279,039.85

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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.