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Finding the Third Proportional to 65,821 and 94,057

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Solution

The third proportional to 65,821 and 94,057 is: 134,405.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,821 : 94,057 = 94,057 : x
  2. Step 2: Convert to fraction form
    65,821/94,057 = 94,057/x
  3. Step 3: Cross multiply
    65,821x = 94,057 × 94,057
  4. Step 4: Simplify right side
    65,821x = 8,846,719,249
  5. Step 5: Solve for x
    x = 8,846,719,249/65,821
  6. Step 6: Final answer
    x = 134,405.73

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.