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Finding the Third Proportional to 97,782 and 146,238

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Solution

The third proportional to 97,782 and 146,238 is: 218,706.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,782 : 146,238 = 146,238 : x
  2. Step 2: Convert to fraction form
    97,782/146,238 = 146,238/x
  3. Step 3: Cross multiply
    97,782x = 146,238 × 146,238
  4. Step 4: Simplify right side
    97,782x = 21,385,552,644
  5. Step 5: Solve for x
    x = 21,385,552,644/97,782
  6. Step 6: Final answer
    x = 218,706.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.