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Finding the Third Proportional to 132,081 and 268,758

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Solution

The third proportional to 132,081 and 268,758 is: 546,867.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,081 : 268,758 = 268,758 : x
  2. Step 2: Convert to fraction form
    132,081/268,758 = 268,758/x
  3. Step 3: Cross multiply
    132,081x = 268,758 × 268,758
  4. Step 4: Simplify right side
    132,081x = 72,230,862,564
  5. Step 5: Solve for x
    x = 72,230,862,564/132,081
  6. Step 6: Final answer
    x = 546,867.93

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.