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Finding the Third Proportional to 134,761 and 202,144

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Solution

The third proportional to 134,761 and 202,144 is: 303,219.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,761 : 202,144 = 202,144 : x
  2. Step 2: Convert to fraction form
    134,761/202,144 = 202,144/x
  3. Step 3: Cross multiply
    134,761x = 202,144 × 202,144
  4. Step 4: Simplify right side
    134,761x = 40,862,196,736
  5. Step 5: Solve for x
    x = 40,862,196,736/134,761
  6. Step 6: Final answer
    x = 303,219.75

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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.