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Finding the Third Proportional to 68,726 and 100,628

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Solution

The third proportional to 68,726 and 100,628 is: 147,338.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,726 : 100,628 = 100,628 : x
  2. Step 2: Convert to fraction form
    68,726/100,628 = 100,628/x
  3. Step 3: Cross multiply
    68,726x = 100,628 × 100,628
  4. Step 4: Simplify right side
    68,726x = 10,125,994,384
  5. Step 5: Solve for x
    x = 10,125,994,384/68,726
  6. Step 6: Final answer
    x = 147,338.63

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.