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Finding the Third Proportional to 100,896 and 151,344

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Solution

The third proportional to 100,896 and 151,344 is: 227,016

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,896 : 151,344 = 151,344 : x
  2. Step 2: Convert to fraction form
    100,896/151,344 = 151,344/x
  3. Step 3: Cross multiply
    100,896x = 151,344 × 151,344
  4. Step 4: Simplify right side
    100,896x = 22,905,006,336
  5. Step 5: Solve for x
    x = 22,905,006,336/100,896
  6. Step 6: Final answer
    x = 227,016

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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.