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Finding the Third Proportional to 136,851 and 204,726

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Solution

The third proportional to 136,851 and 204,726 is: 306,265.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,851 : 204,726 = 204,726 : x
  2. Step 2: Convert to fraction form
    136,851/204,726 = 204,726/x
  3. Step 3: Cross multiply
    136,851x = 204,726 × 204,726
  4. Step 4: Simplify right side
    136,851x = 41,912,735,076
  5. Step 5: Solve for x
    x = 41,912,735,076/136,851
  6. Step 6: Final answer
    x = 306,265.46

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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.