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Finding the Third Proportional to 68,005 and 145,838

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Solution

The third proportional to 68,005 and 145,838 is: 312,752.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,005 : 145,838 = 145,838 : x
  2. Step 2: Convert to fraction form
    68,005/145,838 = 145,838/x
  3. Step 3: Cross multiply
    68,005x = 145,838 × 145,838
  4. Step 4: Simplify right side
    68,005x = 21,268,722,244
  5. Step 5: Solve for x
    x = 21,268,722,244/68,005
  6. Step 6: Final answer
    x = 312,752.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.