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Finding the Third Proportional to 51,576.75 and 112,873.50

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Solution

The third proportional to 51,576.75 and 112,873.50 is: 247,018.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,576.75 : 112,873.50 = 112,873.50 : x
  2. Step 2: Convert to fraction form
    51,576.75/112,873.50 = 112,873.50/x
  3. Step 3: Cross multiply
    51,576.75x = 112,873.50 × 112,873.50
  4. Step 4: Simplify right side
    51,576.75x = 12,740,427,002.25
  5. Step 5: Solve for x
    x = 12,740,427,002.25/51,576.75
  6. Step 6: Final answer
    x = 247,018.80

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Why These Related Problems?

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