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Finding the Third Proportional to 51,801.75 and 112,972.50

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Solution

The third proportional to 51,801.75 and 112,972.50 is: 246,377.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,801.75 : 112,972.50 = 112,972.50 : x
  2. Step 2: Convert to fraction form
    51,801.75/112,972.50 = 112,972.50/x
  3. Step 3: Cross multiply
    51,801.75x = 112,972.50 × 112,972.50
  4. Step 4: Simplify right side
    51,801.75x = 12,762,785,756.25
  5. Step 5: Solve for x
    x = 12,762,785,756.25/51,801.75
  6. Step 6: Final answer
    x = 246,377.50

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.