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Finding the Third Proportional to 59,488 and 86,993

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Solution

The third proportional to 59,488 and 86,993 is: 127,215.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,488 : 86,993 = 86,993 : x
  2. Step 2: Convert to fraction form
    59,488/86,993 = 86,993/x
  3. Step 3: Cross multiply
    59,488x = 86,993 × 86,993
  4. Step 4: Simplify right side
    59,488x = 7,567,782,049
  5. Step 5: Solve for x
    x = 7,567,782,049/59,488
  6. Step 6: Final answer
    x = 127,215.27

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