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Finding the Third Proportional to 68,008 and 147,314

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Solution

The third proportional to 68,008 and 147,314 is: 319,100.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,008 : 147,314 = 147,314 : x
  2. Step 2: Convert to fraction form
    68,008/147,314 = 147,314/x
  3. Step 3: Cross multiply
    68,008x = 147,314 × 147,314
  4. Step 4: Simplify right side
    68,008x = 21,701,414,596
  5. Step 5: Solve for x
    x = 21,701,414,596/68,008
  6. Step 6: Final answer
    x = 319,100.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.