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Finding the Third Proportional to 56,908 and 86,144

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Solution

The third proportional to 56,908 and 86,144 is: 130,399.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,908 : 86,144 = 86,144 : x
  2. Step 2: Convert to fraction form
    56,908/86,144 = 86,144/x
  3. Step 3: Cross multiply
    56,908x = 86,144 × 86,144
  4. Step 4: Simplify right side
    56,908x = 7,420,788,736
  5. Step 5: Solve for x
    x = 7,420,788,736/56,908
  6. Step 6: Final answer
    x = 130,399.75

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.