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Finding the Third Proportional to 68,724 and 100,625

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Solution

The third proportional to 68,724 and 100,625 is: 147,334.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,724 : 100,625 = 100,625 : x
  2. Step 2: Convert to fraction form
    68,724/100,625 = 100,625/x
  3. Step 3: Cross multiply
    68,724x = 100,625 × 100,625
  4. Step 4: Simplify right side
    68,724x = 10,125,390,625
  5. Step 5: Solve for x
    x = 10,125,390,625/68,724
  6. Step 6: Final answer
    x = 147,334.13

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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.