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Finding the Third Proportional to 65,750 and 96,305

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Solution

The third proportional to 65,750 and 96,305 is: 141,059.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,750 : 96,305 = 96,305 : x
  2. Step 2: Convert to fraction form
    65,750/96,305 = 96,305/x
  3. Step 3: Cross multiply
    65,750x = 96,305 × 96,305
  4. Step 4: Simplify right side
    65,750x = 9,274,653,025
  5. Step 5: Solve for x
    x = 9,274,653,025/65,750
  6. Step 6: Final answer
    x = 141,059.36

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.