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Finding the Third Proportional to 101,135.25 and 158,645.25

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Solution

The third proportional to 101,135.25 and 158,645.25 is: 248,857.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,135.25 : 158,645.25 = 158,645.25 : x
  2. Step 2: Convert to fraction form
    101,135.25/158,645.25 = 158,645.25/x
  3. Step 3: Cross multiply
    101,135.25x = 158,645.25 × 158,645.25
  4. Step 4: Simplify right side
    101,135.25x = 25,168,315,347.56
  5. Step 5: Solve for x
    x = 25,168,315,347.56/101,135.25
  6. Step 6: Final answer
    x = 248,857.99

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.