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Finding the Third Proportional to 133,027 and 199,534

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Solution

The third proportional to 133,027 and 199,534 is: 299,291.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,027 : 199,534 = 199,534 : x
  2. Step 2: Convert to fraction form
    133,027/199,534 = 199,534/x
  3. Step 3: Cross multiply
    133,027x = 199,534 × 199,534
  4. Step 4: Simplify right side
    133,027x = 39,813,817,156
  5. Step 5: Solve for x
    x = 39,813,817,156/133,027
  6. Step 6: Final answer
    x = 299,291.25

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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.