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Finding the Third Proportional to 67,997 and 148,091

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Solution

The third proportional to 67,997 and 148,091 is: 322,528.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,997 : 148,091 = 148,091 : x
  2. Step 2: Convert to fraction form
    67,997/148,091 = 148,091/x
  3. Step 3: Cross multiply
    67,997x = 148,091 × 148,091
  4. Step 4: Simplify right side
    67,997x = 21,930,944,281
  5. Step 5: Solve for x
    x = 21,930,944,281/67,997
  6. Step 6: Final answer
    x = 322,528.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.