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Finding the Third Proportional to 40,971 and 88,503

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Solution

The third proportional to 40,971 and 88,503 is: 191,178.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,971 : 88,503 = 88,503 : x
  2. Step 2: Convert to fraction form
    40,971/88,503 = 88,503/x
  3. Step 3: Cross multiply
    40,971x = 88,503 × 88,503
  4. Step 4: Simplify right side
    40,971x = 7,832,781,009
  5. Step 5: Solve for x
    x = 7,832,781,009/40,971
  6. Step 6: Final answer
    x = 191,178.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.