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Finding the Third Proportional to 40,741 and 88,394

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Solution

The third proportional to 40,741 and 88,394 is: 191,784.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,741 : 88,394 = 88,394 : x
  2. Step 2: Convert to fraction form
    40,741/88,394 = 88,394/x
  3. Step 3: Cross multiply
    40,741x = 88,394 × 88,394
  4. Step 4: Simplify right side
    40,741x = 7,813,499,236
  5. Step 5: Solve for x
    x = 7,813,499,236/40,741
  6. Step 6: Final answer
    x = 191,784.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.