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Finding the Third Proportional to 32,194 and 68,008

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Solution

The third proportional to 32,194 and 68,008 is: 143,663.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,194 : 68,008 = 68,008 : x
  2. Step 2: Convert to fraction form
    32,194/68,008 = 68,008/x
  3. Step 3: Cross multiply
    32,194x = 68,008 × 68,008
  4. Step 4: Simplify right side
    32,194x = 4,625,088,064
  5. Step 5: Solve for x
    x = 4,625,088,064/32,194
  6. Step 6: Final answer
    x = 143,663.04

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.