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Finding the Third Proportional to 59,986 and 138,871

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Solution

The third proportional to 59,986 and 138,871 is: 321,494.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,986 : 138,871 = 138,871 : x
  2. Step 2: Convert to fraction form
    59,986/138,871 = 138,871/x
  3. Step 3: Cross multiply
    59,986x = 138,871 × 138,871
  4. Step 4: Simplify right side
    59,986x = 19,285,154,641
  5. Step 5: Solve for x
    x = 19,285,154,641/59,986
  6. Step 6: Final answer
    x = 321,494.26

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.