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Finding the Third Proportional to 101,211.25 and 151,259.38

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Solution

The third proportional to 101,211.25 and 151,259.38 is: 226,055.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,211.25 : 151,259.38 = 151,259.38 : x
  2. Step 2: Convert to fraction form
    101,211.25/151,259.38 = 151,259.38/x
  3. Step 3: Cross multiply
    101,211.25x = 151,259.38 × 151,259.38
  4. Step 4: Simplify right side
    101,211.25x = 22,879,398,525.39
  5. Step 5: Solve for x
    x = 22,879,398,525.39/101,211.25
  6. Step 6: Final answer
    x = 226,055.88

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Why These Related Problems?

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