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Finding the Third Proportional to 40,571 and 88,777

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Solution

The third proportional to 40,571 and 88,777 is: 194,260.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,571 : 88,777 = 88,777 : x
  2. Step 2: Convert to fraction form
    40,571/88,777 = 88,777/x
  3. Step 3: Cross multiply
    40,571x = 88,777 × 88,777
  4. Step 4: Simplify right side
    40,571x = 7,881,355,729
  5. Step 5: Solve for x
    x = 7,881,355,729/40,571
  6. Step 6: Final answer
    x = 194,260.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.