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Finding the Third Proportional to 91,714 and 131,733

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Solution

The third proportional to 91,714 and 131,733 is: 189,214.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,714 : 131,733 = 131,733 : x
  2. Step 2: Convert to fraction form
    91,714/131,733 = 131,733/x
  3. Step 3: Cross multiply
    91,714x = 131,733 × 131,733
  4. Step 4: Simplify right side
    91,714x = 17,353,583,289
  5. Step 5: Solve for x
    x = 17,353,583,289/91,714
  6. Step 6: Final answer
    x = 189,214.11

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.