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Finding the Third Proportional to 104,797.13 and 148,143.38

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Solution

The third proportional to 104,797.13 and 148,143.38 is: 209,418.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,797.13 : 148,143.38 = 148,143.38 : x
  2. Step 2: Convert to fraction form
    104,797.13/148,143.38 = 148,143.38/x
  3. Step 3: Cross multiply
    104,797.13x = 148,143.38 × 148,143.38
  4. Step 4: Simplify right side
    104,797.13x = 21,946,459,556.39
  5. Step 5: Solve for x
    x = 21,946,459,556.39/104,797.13
  6. Step 6: Final answer
    x = 209,418.53

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.