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Finding the Third Proportional to 120,617.81 and 177,418.25

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Solution

The third proportional to 120,617.81 and 177,418.25 is: 260,966.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,617.81 : 177,418.25 = 177,418.25 : x
  2. Step 2: Convert to fraction form
    120,617.81/177,418.25 = 177,418.25/x
  3. Step 3: Cross multiply
    120,617.81x = 177,418.25 × 177,418.25
  4. Step 4: Simplify right side
    120,617.81x = 31,477,235,433.06
  5. Step 5: Solve for x
    x = 31,477,235,433.06/120,617.81
  6. Step 6: Final answer
    x = 260,966.72

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.