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Finding the Third Proportional to 101,619 and 150,959.25

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Solution

The third proportional to 101,619 and 150,959.25 is: 224,256.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,619 : 150,959.25 = 150,959.25 : x
  2. Step 2: Convert to fraction form
    101,619/150,959.25 = 150,959.25/x
  3. Step 3: Cross multiply
    101,619x = 150,959.25 × 150,959.25
  4. Step 4: Simplify right side
    101,619x = 22,788,695,160.56
  5. Step 5: Solve for x
    x = 22,788,695,160.56/101,619
  6. Step 6: Final answer
    x = 224,256.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.