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Finding the Third Proportional to 101,068 and 151,589

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Solution

The third proportional to 101,068 and 151,589 is: 227,364.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,068 : 151,589 = 151,589 : x
  2. Step 2: Convert to fraction form
    101,068/151,589 = 151,589/x
  3. Step 3: Cross multiply
    101,068x = 151,589 × 151,589
  4. Step 4: Simplify right side
    101,068x = 22,979,224,921
  5. Step 5: Solve for x
    x = 22,979,224,921/101,068
  6. Step 6: Final answer
    x = 227,364.00

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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.