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Finding the Third Proportional to 61,194 and 80,640

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Solution

The third proportional to 61,194 and 80,640 is: 106,265.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,194 : 80,640 = 80,640 : x
  2. Step 2: Convert to fraction form
    61,194/80,640 = 80,640/x
  3. Step 3: Cross multiply
    61,194x = 80,640 × 80,640
  4. Step 4: Simplify right side
    61,194x = 6,502,809,600
  5. Step 5: Solve for x
    x = 6,502,809,600/61,194
  6. Step 6: Final answer
    x = 106,265.48

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.