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Finding the Third Proportional to 68,802 and 145,884

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Solution

The third proportional to 68,802 and 145,884 is: 309,324.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,802 : 145,884 = 145,884 : x
  2. Step 2: Convert to fraction form
    68,802/145,884 = 145,884/x
  3. Step 3: Cross multiply
    68,802x = 145,884 × 145,884
  4. Step 4: Simplify right side
    68,802x = 21,282,141,456
  5. Step 5: Solve for x
    x = 21,282,141,456/68,802
  6. Step 6: Final answer
    x = 309,324.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.