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Finding the Third Proportional to 65,393 and 92,556.25

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Solution

The third proportional to 65,393 and 92,556.25 is: 131,002.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,393 : 92,556.25 = 92,556.25 : x
  2. Step 2: Convert to fraction form
    65,393/92,556.25 = 92,556.25/x
  3. Step 3: Cross multiply
    65,393x = 92,556.25 × 92,556.25
  4. Step 4: Simplify right side
    65,393x = 8,566,659,414.06
  5. Step 5: Solve for x
    x = 8,566,659,414.06/65,393
  6. Step 6: Final answer
    x = 131,002.70

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.