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Finding the Third Proportional to 73,102.50 and 157,083.05

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Solution

The third proportional to 73,102.50 and 157,083.05 is: 337,540.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,102.50 : 157,083.05 = 157,083.05 : x
  2. Step 2: Convert to fraction form
    73,102.50/157,083.05 = 157,083.05/x
  3. Step 3: Cross multiply
    73,102.50x = 157,083.05 × 157,083.05
  4. Step 4: Simplify right side
    73,102.50x = 24,675,083,615.53
  5. Step 5: Solve for x
    x = 24,675,083,615.53/73,102.50
  6. Step 6: Final answer
    x = 337,540.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.