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Finding the Third Proportional to 51,052.78 and 112,184.16

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Solution

The third proportional to 51,052.78 and 112,184.16 is: 246,515.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,052.78 : 112,184.16 = 112,184.16 : x
  2. Step 2: Convert to fraction form
    51,052.78/112,184.16 = 112,184.16/x
  3. Step 3: Cross multiply
    51,052.78x = 112,184.16 × 112,184.16
  4. Step 4: Simplify right side
    51,052.78x = 12,585,284,913.52
  5. Step 5: Solve for x
    x = 12,585,284,913.52/51,052.78
  6. Step 6: Final answer
    x = 246,515.17

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.