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Finding the Third Proportional to 41,566 and 88,252

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Solution

The third proportional to 41,566 and 88,252 is: 187,374.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,566 : 88,252 = 88,252 : x
  2. Step 2: Convert to fraction form
    41,566/88,252 = 88,252/x
  3. Step 3: Cross multiply
    41,566x = 88,252 × 88,252
  4. Step 4: Simplify right side
    41,566x = 7,788,415,504
  5. Step 5: Solve for x
    x = 7,788,415,504/41,566
  6. Step 6: Final answer
    x = 187,374.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.