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Finding the Third Proportional to 68,480 and 142,336

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Solution

The third proportional to 68,480 and 142,336 is: 295,846.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,480 : 142,336 = 142,336 : x
  2. Step 2: Convert to fraction form
    68,480/142,336 = 142,336/x
  3. Step 3: Cross multiply
    68,480x = 142,336 × 142,336
  4. Step 4: Simplify right side
    68,480x = 20,259,536,896
  5. Step 5: Solve for x
    x = 20,259,536,896/68,480
  6. Step 6: Final answer
    x = 295,846.04

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.