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Finding the Third Proportional to 75,451.50 and 155,763

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Solution

The third proportional to 75,451.50 and 155,763 is: 321,559.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,451.50 : 155,763 = 155,763 : x
  2. Step 2: Convert to fraction form
    75,451.50/155,763 = 155,763/x
  3. Step 3: Cross multiply
    75,451.50x = 155,763 × 155,763
  4. Step 4: Simplify right side
    75,451.50x = 24,262,112,169
  5. Step 5: Solve for x
    x = 24,262,112,169/75,451.50
  6. Step 6: Final answer
    x = 321,559.04

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.