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Finding the Third Proportional to 65,686 and 96,200

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Solution

The third proportional to 65,686 and 96,200 is: 140,889.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,686 : 96,200 = 96,200 : x
  2. Step 2: Convert to fraction form
    65,686/96,200 = 96,200/x
  3. Step 3: Cross multiply
    65,686x = 96,200 × 96,200
  4. Step 4: Simplify right side
    65,686x = 9,254,440,000
  5. Step 5: Solve for x
    x = 9,254,440,000/65,686
  6. Step 6: Final answer
    x = 140,889.08

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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.