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Finding the Third Proportional to 86,736 and 130,128

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Solution

The third proportional to 86,736 and 130,128 is: 195,228.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,736 : 130,128 = 130,128 : x
  2. Step 2: Convert to fraction form
    86,736/130,128 = 130,128/x
  3. Step 3: Cross multiply
    86,736x = 130,128 × 130,128
  4. Step 4: Simplify right side
    86,736x = 16,933,296,384
  5. Step 5: Solve for x
    x = 16,933,296,384/86,736
  6. Step 6: Final answer
    x = 195,228.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.