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Finding the Third Proportional to 75,801.75 and 155,974.50

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Solution

The third proportional to 75,801.75 and 155,974.50 is: 320,943.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,801.75 : 155,974.50 = 155,974.50 : x
  2. Step 2: Convert to fraction form
    75,801.75/155,974.50 = 155,974.50/x
  3. Step 3: Cross multiply
    75,801.75x = 155,974.50 × 155,974.50
  4. Step 4: Simplify right side
    75,801.75x = 24,328,044,650.25
  5. Step 5: Solve for x
    x = 24,328,044,650.25/75,801.75
  6. Step 6: Final answer
    x = 320,943.05

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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.