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Finding the Third Proportional to 122,864 and 185,423

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Solution

The third proportional to 122,864 and 185,423 is: 279,835.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,864 : 185,423 = 185,423 : x
  2. Step 2: Convert to fraction form
    122,864/185,423 = 185,423/x
  3. Step 3: Cross multiply
    122,864x = 185,423 × 185,423
  4. Step 4: Simplify right side
    122,864x = 34,381,688,929
  5. Step 5: Solve for x
    x = 34,381,688,929/122,864
  6. Step 6: Final answer
    x = 279,835.34

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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.