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Finding the Third Proportional to 100,271.25 and 150,427.13

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Solution

The third proportional to 100,271.25 and 150,427.13 is: 225,671.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,271.25 : 150,427.13 = 150,427.13 : x
  2. Step 2: Convert to fraction form
    100,271.25/150,427.13 = 150,427.13/x
  3. Step 3: Cross multiply
    100,271.25x = 150,427.13 × 150,427.13
  4. Step 4: Simplify right side
    100,271.25x = 22,628,319,935.77
  5. Step 5: Solve for x
    x = 22,628,319,935.77/100,271.25
  6. Step 6: Final answer
    x = 225,671.07

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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.