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Finding the Third Proportional to 40,719 and 88,401

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Solution

The third proportional to 40,719 and 88,401 is: 191,918.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,719 : 88,401 = 88,401 : x
  2. Step 2: Convert to fraction form
    40,719/88,401 = 88,401/x
  3. Step 3: Cross multiply
    40,719x = 88,401 × 88,401
  4. Step 4: Simplify right side
    40,719x = 7,814,736,801
  5. Step 5: Solve for x
    x = 7,814,736,801/40,719
  6. Step 6: Final answer
    x = 191,918.68

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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.