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Finding the Third Proportional to 135,797 and 199,534

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Solution

The third proportional to 135,797 and 199,534 is: 293,186.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,797 : 199,534 = 199,534 : x
  2. Step 2: Convert to fraction form
    135,797/199,534 = 199,534/x
  3. Step 3: Cross multiply
    135,797x = 199,534 × 199,534
  4. Step 4: Simplify right side
    135,797x = 39,813,817,156
  5. Step 5: Solve for x
    x = 39,813,817,156/135,797
  6. Step 6: Final answer
    x = 293,186.28

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.