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Finding the Third Proportional to 71,153 and 150,142.50

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Solution

The third proportional to 71,153 and 150,142.50 is: 316,821.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,153 : 150,142.50 = 150,142.50 : x
  2. Step 2: Convert to fraction form
    71,153/150,142.50 = 150,142.50/x
  3. Step 3: Cross multiply
    71,153x = 150,142.50 × 150,142.50
  4. Step 4: Simplify right side
    71,153x = 22,542,770,306.25
  5. Step 5: Solve for x
    x = 22,542,770,306.25/71,153
  6. Step 6: Final answer
    x = 316,821.08

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.