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Finding the Third Proportional to 86 and 132.13

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Solution

The third proportional to 86 and 132.13 is: 202.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    86 : 132.13 = 132.13 : x
  2. Step 2: Convert to fraction form
    86/132.13 = 132.13/x
  3. Step 3: Cross multiply
    86x = 132.13 × 132.13
  4. Step 4: Simplify right side
    86x = 17,457.02
  5. Step 5: Solve for x
    x = 17,457.02/86
  6. Step 6: Final answer
    x = 202.99

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Why These Related Problems?

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