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Finding the Third Proportional to 51,981.75 and 111,728.53

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Solution

The third proportional to 51,981.75 and 111,728.53 is: 240,147.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,981.75 : 111,728.53 = 111,728.53 : x
  2. Step 2: Convert to fraction form
    51,981.75/111,728.53 = 111,728.53/x
  3. Step 3: Cross multiply
    51,981.75x = 111,728.53 × 111,728.53
  4. Step 4: Simplify right side
    51,981.75x = 12,483,264,695.28
  5. Step 5: Solve for x
    x = 12,483,264,695.28/51,981.75
  6. Step 6: Final answer
    x = 240,147.06

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.