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Finding the Third Proportional to 135,096 and 202,716

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Solution

The third proportional to 135,096 and 202,716 is: 304,182.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,096 : 202,716 = 202,716 : x
  2. Step 2: Convert to fraction form
    135,096/202,716 = 202,716/x
  3. Step 3: Cross multiply
    135,096x = 202,716 × 202,716
  4. Step 4: Simplify right side
    135,096x = 41,093,776,656
  5. Step 5: Solve for x
    x = 41,093,776,656/135,096
  6. Step 6: Final answer
    x = 304,182.04

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Why These Related Problems?

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