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Finding the Third Proportional to 68,562 and 100,269

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Solution

The third proportional to 68,562 and 100,269 is: 146,639.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,562 : 100,269 = 100,269 : x
  2. Step 2: Convert to fraction form
    68,562/100,269 = 100,269/x
  3. Step 3: Cross multiply
    68,562x = 100,269 × 100,269
  4. Step 4: Simplify right side
    68,562x = 10,053,872,361
  5. Step 5: Solve for x
    x = 10,053,872,361/68,562
  6. Step 6: Final answer
    x = 146,639.13

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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.