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Finding the Third Proportional to 61,044.75 and 133,906.50

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Solution

The third proportional to 61,044.75 and 133,906.50 is: 293,734.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,044.75 : 133,906.50 = 133,906.50 : x
  2. Step 2: Convert to fraction form
    61,044.75/133,906.50 = 133,906.50/x
  3. Step 3: Cross multiply
    61,044.75x = 133,906.50 × 133,906.50
  4. Step 4: Simplify right side
    61,044.75x = 17,930,950,742.25
  5. Step 5: Solve for x
    x = 17,930,950,742.25/61,044.75
  6. Step 6: Final answer
    x = 293,734.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.