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Finding the Third Proportional to 51,197.81 and 112,237.08

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Solution

The third proportional to 51,197.81 and 112,237.08 is: 246,048.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,197.81 : 112,237.08 = 112,237.08 : x
  2. Step 2: Convert to fraction form
    51,197.81/112,237.08 = 112,237.08/x
  3. Step 3: Cross multiply
    51,197.81x = 112,237.08 × 112,237.08
  4. Step 4: Simplify right side
    51,197.81x = 12,597,161,706.04
  5. Step 5: Solve for x
    x = 12,597,161,706.04/51,197.81
  6. Step 6: Final answer
    x = 246,048.83

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.