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Finding the Third Proportional to 55,012.50 and 81,520.50

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Solution

The third proportional to 55,012.50 and 81,520.50 is: 120,801.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,012.50 : 81,520.50 = 81,520.50 : x
  2. Step 2: Convert to fraction form
    55,012.50/81,520.50 = 81,520.50/x
  3. Step 3: Cross multiply
    55,012.50x = 81,520.50 × 81,520.50
  4. Step 4: Simplify right side
    55,012.50x = 6,645,591,920.25
  5. Step 5: Solve for x
    x = 6,645,591,920.25/55,012.50
  6. Step 6: Final answer
    x = 120,801.49

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.