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Finding the Third Proportional to 65,802 and 96,246

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Solution

The third proportional to 65,802 and 96,246 is: 140,775.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,802 : 96,246 = 96,246 : x
  2. Step 2: Convert to fraction form
    65,802/96,246 = 96,246/x
  3. Step 3: Cross multiply
    65,802x = 96,246 × 96,246
  4. Step 4: Simplify right side
    65,802x = 9,263,292,516
  5. Step 5: Solve for x
    x = 9,263,292,516/65,802
  6. Step 6: Final answer
    x = 140,775.24

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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.