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Finding the Third Proportional to 122,858 and 185,153

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Solution

The third proportional to 122,858 and 185,153 is: 279,034.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,858 : 185,153 = 185,153 : x
  2. Step 2: Convert to fraction form
    122,858/185,153 = 185,153/x
  3. Step 3: Cross multiply
    122,858x = 185,153 × 185,153
  4. Step 4: Simplify right side
    122,858x = 34,281,633,409
  5. Step 5: Solve for x
    x = 34,281,633,409/122,858
  6. Step 6: Final answer
    x = 279,034.60

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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.