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Finding the Third Proportional to 88,747.50 and 133,161

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Solution

The third proportional to 88,747.50 and 133,161 is: 199,801.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,747.50 : 133,161 = 133,161 : x
  2. Step 2: Convert to fraction form
    88,747.50/133,161 = 133,161/x
  3. Step 3: Cross multiply
    88,747.50x = 133,161 × 133,161
  4. Step 4: Simplify right side
    88,747.50x = 17,731,851,921
  5. Step 5: Solve for x
    x = 17,731,851,921/88,747.50
  6. Step 6: Final answer
    x = 199,801.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.