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Finding the Third Proportional to 68,906 and 142,240

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Solution

The third proportional to 68,906 and 142,240 is: 293,620.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,906 : 142,240 = 142,240 : x
  2. Step 2: Convert to fraction form
    68,906/142,240 = 142,240/x
  3. Step 3: Cross multiply
    68,906x = 142,240 × 142,240
  4. Step 4: Simplify right side
    68,906x = 20,232,217,600
  5. Step 5: Solve for x
    x = 20,232,217,600/68,906
  6. Step 6: Final answer
    x = 293,620.55

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.