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Finding the Third Proportional to 61,766 and 133,324

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Solution

The third proportional to 61,766 and 133,324 is: 287,784.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,766 : 133,324 = 133,324 : x
  2. Step 2: Convert to fraction form
    61,766/133,324 = 133,324/x
  3. Step 3: Cross multiply
    61,766x = 133,324 × 133,324
  4. Step 4: Simplify right side
    61,766x = 17,775,288,976
  5. Step 5: Solve for x
    x = 17,775,288,976/61,766
  6. Step 6: Final answer
    x = 287,784.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.