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Finding the Third Proportional to 122,856.75 and 185,151.75

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Solution

The third proportional to 122,856.75 and 185,151.75 is: 279,033.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,856.75 : 185,151.75 = 185,151.75 : x
  2. Step 2: Convert to fraction form
    122,856.75/185,151.75 = 185,151.75/x
  3. Step 3: Cross multiply
    122,856.75x = 185,151.75 × 185,151.75
  4. Step 4: Simplify right side
    122,856.75x = 34,281,170,528.06
  5. Step 5: Solve for x
    x = 34,281,170,528.06/122,856.75
  6. Step 6: Final answer
    x = 279,033.68

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