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Finding the Third Proportional to 106,331 and 144,471

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Solution

The third proportional to 106,331 and 144,471 is: 196,291.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,331 : 144,471 = 144,471 : x
  2. Step 2: Convert to fraction form
    106,331/144,471 = 144,471/x
  3. Step 3: Cross multiply
    106,331x = 144,471 × 144,471
  4. Step 4: Simplify right side
    106,331x = 20,871,869,841
  5. Step 5: Solve for x
    x = 20,871,869,841/106,331
  6. Step 6: Final answer
    x = 196,291.48

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.