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Finding the Third Proportional to 42,777 and 95,380.31

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Solution

The third proportional to 42,777 and 95,380.31 is: 212,670.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,777 : 95,380.31 = 95,380.31 : x
  2. Step 2: Convert to fraction form
    42,777/95,380.31 = 95,380.31/x
  3. Step 3: Cross multiply
    42,777x = 95,380.31 × 95,380.31
  4. Step 4: Simplify right side
    42,777x = 9,097,404,012.60
  5. Step 5: Solve for x
    x = 9,097,404,012.60/42,777
  6. Step 6: Final answer
    x = 212,670.45

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.