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Finding the Third Proportional to 79,305 and 105,726

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Solution

The third proportional to 79,305 and 105,726 is: 140,949.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,305 : 105,726 = 105,726 : x
  2. Step 2: Convert to fraction form
    79,305/105,726 = 105,726/x
  3. Step 3: Cross multiply
    79,305x = 105,726 × 105,726
  4. Step 4: Simplify right side
    79,305x = 11,177,987,076
  5. Step 5: Solve for x
    x = 11,177,987,076/79,305
  6. Step 6: Final answer
    x = 140,949.34

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.