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Finding the Third Proportional to 65,772 and 96,201

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Solution

The third proportional to 65,772 and 96,201 is: 140,707.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,772 : 96,201 = 96,201 : x
  2. Step 2: Convert to fraction form
    65,772/96,201 = 96,201/x
  3. Step 3: Cross multiply
    65,772x = 96,201 × 96,201
  4. Step 4: Simplify right side
    65,772x = 9,254,632,401
  5. Step 5: Solve for x
    x = 9,254,632,401/65,772
  6. Step 6: Final answer
    x = 140,707.78

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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.