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Finding the Third Proportional to 86,269 and 132,133

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Solution

The third proportional to 86,269 and 132,133 is: 202,380.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,269 : 132,133 = 132,133 : x
  2. Step 2: Convert to fraction form
    86,269/132,133 = 132,133/x
  3. Step 3: Cross multiply
    86,269x = 132,133 × 132,133
  4. Step 4: Simplify right side
    86,269x = 17,459,129,689
  5. Step 5: Solve for x
    x = 17,459,129,689/86,269
  6. Step 6: Final answer
    x = 202,380.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.