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Finding the Third Proportional to 68,012 and 124,844

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Solution

The third proportional to 68,012 and 124,844 is: 229,165.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,012 : 124,844 = 124,844 : x
  2. Step 2: Convert to fraction form
    68,012/124,844 = 124,844/x
  3. Step 3: Cross multiply
    68,012x = 124,844 × 124,844
  4. Step 4: Simplify right side
    68,012x = 15,586,024,336
  5. Step 5: Solve for x
    x = 15,586,024,336/68,012
  6. Step 6: Final answer
    x = 229,165.80

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.