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Finding the Third Proportional to 86,074 and 132,944

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Solution

The third proportional to 86,074 and 132,944 is: 205,336.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,074 : 132,944 = 132,944 : x
  2. Step 2: Convert to fraction form
    86,074/132,944 = 132,944/x
  3. Step 3: Cross multiply
    86,074x = 132,944 × 132,944
  4. Step 4: Simplify right side
    86,074x = 17,674,107,136
  5. Step 5: Solve for x
    x = 17,674,107,136/86,074
  6. Step 6: Final answer
    x = 205,336.19

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.