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Finding the Third Proportional to 61,233 and 92,772.25

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Solution

The third proportional to 61,233 and 92,772.25 is: 140,556.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,233 : 92,772.25 = 92,772.25 : x
  2. Step 2: Convert to fraction form
    61,233/92,772.25 = 92,772.25/x
  3. Step 3: Cross multiply
    61,233x = 92,772.25 × 92,772.25
  4. Step 4: Simplify right side
    61,233x = 8,606,690,370.06
  5. Step 5: Solve for x
    x = 8,606,690,370.06/61,233
  6. Step 6: Final answer
    x = 140,556.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.