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Finding the Third Proportional to 61,305 and 94,734

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Solution

The third proportional to 61,305 and 94,734 is: 146,391.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,305 : 94,734 = 94,734 : x
  2. Step 2: Convert to fraction form
    61,305/94,734 = 94,734/x
  3. Step 3: Cross multiply
    61,305x = 94,734 × 94,734
  4. Step 4: Simplify right side
    61,305x = 8,974,530,756
  5. Step 5: Solve for x
    x = 8,974,530,756/61,305
  6. Step 6: Final answer
    x = 146,391.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.