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Finding the Third Proportional to 106,438 and 147,992

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Solution

The third proportional to 106,438 and 147,992 is: 205,768.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,438 : 147,992 = 147,992 : x
  2. Step 2: Convert to fraction form
    106,438/147,992 = 147,992/x
  3. Step 3: Cross multiply
    106,438x = 147,992 × 147,992
  4. Step 4: Simplify right side
    106,438x = 21,901,632,064
  5. Step 5: Solve for x
    x = 21,901,632,064/106,438
  6. Step 6: Final answer
    x = 205,768.92

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.