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Finding the Third Proportional to 88,538 and 133,143

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Solution

The third proportional to 88,538 and 133,143 is: 200,219.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,538 : 133,143 = 133,143 : x
  2. Step 2: Convert to fraction form
    88,538/133,143 = 133,143/x
  3. Step 3: Cross multiply
    88,538x = 133,143 × 133,143
  4. Step 4: Simplify right side
    88,538x = 17,727,058,449
  5. Step 5: Solve for x
    x = 17,727,058,449/88,538
  6. Step 6: Final answer
    x = 200,219.78

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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.