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Finding the Third Proportional to 55,441 and 86,871

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Solution

The third proportional to 55,441 and 86,871 is: 136,118.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,441 : 86,871 = 86,871 : x
  2. Step 2: Convert to fraction form
    55,441/86,871 = 86,871/x
  3. Step 3: Cross multiply
    55,441x = 86,871 × 86,871
  4. Step 4: Simplify right side
    55,441x = 7,546,570,641
  5. Step 5: Solve for x
    x = 7,546,570,641/55,441
  6. Step 6: Final answer
    x = 136,118.95

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.