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Finding the Third Proportional to 42,740 and 94,057

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Solution

The third proportional to 42,740 and 94,057 is: 206,989.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,740 : 94,057 = 94,057 : x
  2. Step 2: Convert to fraction form
    42,740/94,057 = 94,057/x
  3. Step 3: Cross multiply
    42,740x = 94,057 × 94,057
  4. Step 4: Simplify right side
    42,740x = 8,846,719,249
  5. Step 5: Solve for x
    x = 8,846,719,249/42,740
  6. Step 6: Final answer
    x = 206,989.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.