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Finding the Third Proportional to 101,794 and 153,807

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Solution

The third proportional to 101,794 and 153,807 is: 232,396.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,794 : 153,807 = 153,807 : x
  2. Step 2: Convert to fraction form
    101,794/153,807 = 153,807/x
  3. Step 3: Cross multiply
    101,794x = 153,807 × 153,807
  4. Step 4: Simplify right side
    101,794x = 23,656,593,249
  5. Step 5: Solve for x
    x = 23,656,593,249/101,794
  6. Step 6: Final answer
    x = 232,396.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.