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Finding the Third Proportional to 95,467 and 145,712

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Solution

The third proportional to 95,467 and 145,712 is: 222,401.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,467 : 145,712 = 145,712 : x
  2. Step 2: Convert to fraction form
    95,467/145,712 = 145,712/x
  3. Step 3: Cross multiply
    95,467x = 145,712 × 145,712
  4. Step 4: Simplify right side
    95,467x = 21,231,986,944
  5. Step 5: Solve for x
    x = 21,231,986,944/95,467
  6. Step 6: Final answer
    x = 222,401.32

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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.