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Finding the Third Proportional to 41,850 and 88,371

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Solution

The third proportional to 41,850 and 88,371 is: 186,605.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,850 : 88,371 = 88,371 : x
  2. Step 2: Convert to fraction form
    41,850/88,371 = 88,371/x
  3. Step 3: Cross multiply
    41,850x = 88,371 × 88,371
  4. Step 4: Simplify right side
    41,850x = 7,809,433,641
  5. Step 5: Solve for x
    x = 7,809,433,641/41,850
  6. Step 6: Final answer
    x = 186,605.34

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.