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Finding the Third Proportional to 91,014 and 135,819

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Solution

The third proportional to 91,014 and 135,819 is: 202,680.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,014 : 135,819 = 135,819 : x
  2. Step 2: Convert to fraction form
    91,014/135,819 = 135,819/x
  3. Step 3: Cross multiply
    91,014x = 135,819 × 135,819
  4. Step 4: Simplify right side
    91,014x = 18,446,800,761
  5. Step 5: Solve for x
    x = 18,446,800,761/91,014
  6. Step 6: Final answer
    x = 202,680.91

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Why These Related Problems?

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