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Finding the Third Proportional to 65,239 and 99,965

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Solution

The third proportional to 65,239 and 99,965 is: 153,175.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,239 : 99,965 = 99,965 : x
  2. Step 2: Convert to fraction form
    65,239/99,965 = 99,965/x
  3. Step 3: Cross multiply
    65,239x = 99,965 × 99,965
  4. Step 4: Simplify right side
    65,239x = 9,993,001,225
  5. Step 5: Solve for x
    x = 9,993,001,225/65,239
  6. Step 6: Final answer
    x = 153,175.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.