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Finding the Third Proportional to 120,695.06 and 261,551.53

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Solution

The third proportional to 120,695.06 and 261,551.53 is: 566,793.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,695.06 : 261,551.53 = 261,551.53 : x
  2. Step 2: Convert to fraction form
    120,695.06/261,551.53 = 261,551.53/x
  3. Step 3: Cross multiply
    120,695.06x = 261,551.53 × 261,551.53
  4. Step 4: Simplify right side
    120,695.06x = 68,409,203,499.22
  5. Step 5: Solve for x
    x = 68,409,203,499.22/120,695.06
  6. Step 6: Final answer
    x = 566,793.72

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.