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Finding the Third Proportional to 96,567 and 141,393

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Solution

The third proportional to 96,567 and 141,393 is: 207,027.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,567 : 141,393 = 141,393 : x
  2. Step 2: Convert to fraction form
    96,567/141,393 = 141,393/x
  3. Step 3: Cross multiply
    96,567x = 141,393 × 141,393
  4. Step 4: Simplify right side
    96,567x = 19,991,980,449
  5. Step 5: Solve for x
    x = 19,991,980,449/96,567
  6. Step 6: Final answer
    x = 207,027.04

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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.