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Finding the Third Proportional to 91,134 and 122,684

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Solution

The third proportional to 91,134 and 122,684 is: 165,156.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,134 : 122,684 = 122,684 : x
  2. Step 2: Convert to fraction form
    91,134/122,684 = 122,684/x
  3. Step 3: Cross multiply
    91,134x = 122,684 × 122,684
  4. Step 4: Simplify right side
    91,134x = 15,051,363,856
  5. Step 5: Solve for x
    x = 15,051,363,856/91,134
  6. Step 6: Final answer
    x = 165,156.41

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.