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Finding the Third Proportional to 61,678 and 132,092

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Solution

The third proportional to 61,678 and 132,092 is: 282,893.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,678 : 132,092 = 132,092 : x
  2. Step 2: Convert to fraction form
    61,678/132,092 = 132,092/x
  3. Step 3: Cross multiply
    61,678x = 132,092 × 132,092
  4. Step 4: Simplify right side
    61,678x = 17,448,296,464
  5. Step 5: Solve for x
    x = 17,448,296,464/61,678
  6. Step 6: Final answer
    x = 282,893.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.