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Finding the Third Proportional to 122,862.13 and 185,420.75

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Solution

The third proportional to 122,862.13 and 185,420.75 is: 279,832.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,862.13 : 185,420.75 = 185,420.75 : x
  2. Step 2: Convert to fraction form
    122,862.13/185,420.75 = 185,420.75/x
  3. Step 3: Cross multiply
    122,862.13x = 185,420.75 × 185,420.75
  4. Step 4: Simplify right side
    122,862.13x = 34,380,854,530.56
  5. Step 5: Solve for x
    x = 34,380,854,530.56/122,862.13
  6. Step 6: Final answer
    x = 279,832.82

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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.