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Finding the Third Proportional to 135,104 and 202,726

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Solution

The third proportional to 135,104 and 202,726 is: 304,194.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,104 : 202,726 = 202,726 : x
  2. Step 2: Convert to fraction form
    135,104/202,726 = 202,726/x
  3. Step 3: Cross multiply
    135,104x = 202,726 × 202,726
  4. Step 4: Simplify right side
    135,104x = 41,097,831,076
  5. Step 5: Solve for x
    x = 41,097,831,076/135,104
  6. Step 6: Final answer
    x = 304,194.04

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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.