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Finding the Third Proportional to 61,664 and 92,326

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Solution

The third proportional to 61,664 and 92,326 is: 138,234.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,664 : 92,326 = 92,326 : x
  2. Step 2: Convert to fraction form
    61,664/92,326 = 92,326/x
  3. Step 3: Cross multiply
    61,664x = 92,326 × 92,326
  4. Step 4: Simplify right side
    61,664x = 8,524,090,276
  5. Step 5: Solve for x
    x = 8,524,090,276/61,664
  6. Step 6: Final answer
    x = 138,234.47

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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.