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Finding the Third Proportional to 122,859 and 185,154

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Solution

The third proportional to 122,859 and 185,154 is: 279,035.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,859 : 185,154 = 185,154 : x
  2. Step 2: Convert to fraction form
    122,859/185,154 = 185,154/x
  3. Step 3: Cross multiply
    122,859x = 185,154 × 185,154
  4. Step 4: Simplify right side
    122,859x = 34,282,003,716
  5. Step 5: Solve for x
    x = 34,282,003,716/122,859
  6. Step 6: Final answer
    x = 279,035.35

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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.