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Finding the Third Proportional to 68,337 and 147,906

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Solution

The third proportional to 68,337 and 147,906 is: 320,122.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,337 : 147,906 = 147,906 : x
  2. Step 2: Convert to fraction form
    68,337/147,906 = 147,906/x
  3. Step 3: Cross multiply
    68,337x = 147,906 × 147,906
  4. Step 4: Simplify right side
    68,337x = 21,876,184,836
  5. Step 5: Solve for x
    x = 21,876,184,836/68,337
  6. Step 6: Final answer
    x = 320,122.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.