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Finding the Third Proportional to 135,110 and 201,909

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Solution

The third proportional to 135,110 and 201,909 is: 301,733.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,110 : 201,909 = 201,909 : x
  2. Step 2: Convert to fraction form
    135,110/201,909 = 201,909/x
  3. Step 3: Cross multiply
    135,110x = 201,909 × 201,909
  4. Step 4: Simplify right side
    135,110x = 40,767,244,281
  5. Step 5: Solve for x
    x = 40,767,244,281/135,110
  6. Step 6: Final answer
    x = 301,733.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.