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Finding the Third Proportional to 101,274.75 and 160,157.25

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Solution

The third proportional to 101,274.75 and 160,157.25 is: 253,274.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,274.75 : 160,157.25 = 160,157.25 : x
  2. Step 2: Convert to fraction form
    101,274.75/160,157.25 = 160,157.25/x
  3. Step 3: Cross multiply
    101,274.75x = 160,157.25 × 160,157.25
  4. Step 4: Simplify right side
    101,274.75x = 25,650,344,727.56
  5. Step 5: Solve for x
    x = 25,650,344,727.56/101,274.75
  6. Step 6: Final answer
    x = 253,274.83

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.