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Finding the Third Proportional to 91,026 and 135,834

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Solution

The third proportional to 91,026 and 135,834 is: 202,698.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,026 : 135,834 = 135,834 : x
  2. Step 2: Convert to fraction form
    91,026/135,834 = 135,834/x
  3. Step 3: Cross multiply
    91,026x = 135,834 × 135,834
  4. Step 4: Simplify right side
    91,026x = 18,450,875,556
  5. Step 5: Solve for x
    x = 18,450,875,556/91,026
  6. Step 6: Final answer
    x = 202,698.96

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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.