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Finding the Third Proportional to 65,030 and 95,067

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Solution

The third proportional to 65,030 and 95,067 is: 138,977.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,030 : 95,067 = 95,067 : x
  2. Step 2: Convert to fraction form
    65,030/95,067 = 95,067/x
  3. Step 3: Cross multiply
    65,030x = 95,067 × 95,067
  4. Step 4: Simplify right side
    65,030x = 9,037,734,489
  5. Step 5: Solve for x
    x = 9,037,734,489/65,030
  6. Step 6: Final answer
    x = 138,977.93

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.