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Finding the Third Proportional to 57,982.50 and 88,191

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Solution

The third proportional to 57,982.50 and 88,191 is: 134,137.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,982.50 : 88,191 = 88,191 : x
  2. Step 2: Convert to fraction form
    57,982.50/88,191 = 88,191/x
  3. Step 3: Cross multiply
    57,982.50x = 88,191 × 88,191
  4. Step 4: Simplify right side
    57,982.50x = 7,777,652,481
  5. Step 5: Solve for x
    x = 7,777,652,481/57,982.50
  6. Step 6: Final answer
    x = 134,137.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.