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Finding the Third Proportional to 92,238 and 146,817

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Solution

The third proportional to 92,238 and 146,817 is: 233,691.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,238 : 146,817 = 146,817 : x
  2. Step 2: Convert to fraction form
    92,238/146,817 = 146,817/x
  3. Step 3: Cross multiply
    92,238x = 146,817 × 146,817
  4. Step 4: Simplify right side
    92,238x = 21,555,231,489
  5. Step 5: Solve for x
    x = 21,555,231,489/92,238
  6. Step 6: Final answer
    x = 233,691.44

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.