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Finding the Third Proportional to 101,131 and 151,696

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Solution

The third proportional to 101,131 and 151,696 is: 227,543.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,131 : 151,696 = 151,696 : x
  2. Step 2: Convert to fraction form
    101,131/151,696 = 151,696/x
  3. Step 3: Cross multiply
    101,131x = 151,696 × 151,696
  4. Step 4: Simplify right side
    101,131x = 23,011,676,416
  5. Step 5: Solve for x
    x = 23,011,676,416/101,131
  6. Step 6: Final answer
    x = 227,543.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.