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Finding the Third Proportional to 101,188 and 151,660

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Solution

The third proportional to 101,188 and 151,660 is: 227,307.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,188 : 151,660 = 151,660 : x
  2. Step 2: Convert to fraction form
    101,188/151,660 = 151,660/x
  3. Step 3: Cross multiply
    101,188x = 151,660 × 151,660
  4. Step 4: Simplify right side
    101,188x = 23,000,755,600
  5. Step 5: Solve for x
    x = 23,000,755,600/101,188
  6. Step 6: Final answer
    x = 227,307.15

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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.