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Finding the Third Proportional to 65,348 and 95,500

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Solution

The third proportional to 65,348 and 95,500 is: 139,564.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,348 : 95,500 = 95,500 : x
  2. Step 2: Convert to fraction form
    65,348/95,500 = 95,500/x
  3. Step 3: Cross multiply
    65,348x = 95,500 × 95,500
  4. Step 4: Simplify right side
    65,348x = 9,120,250,000
  5. Step 5: Solve for x
    x = 9,120,250,000/65,348
  6. Step 6: Final answer
    x = 139,564.33

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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.