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Finding the Third Proportional to 100,896 and 151,392

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Solution

The third proportional to 100,896 and 151,392 is: 227,160.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,896 : 151,392 = 151,392 : x
  2. Step 2: Convert to fraction form
    100,896/151,392 = 151,392/x
  3. Step 3: Cross multiply
    100,896x = 151,392 × 151,392
  4. Step 4: Simplify right side
    100,896x = 22,919,537,664
  5. Step 5: Solve for x
    x = 22,919,537,664/100,896
  6. Step 6: Final answer
    x = 227,160.02

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