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Finding the Third Proportional to 64,354 and 96,939

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Solution

The third proportional to 64,354 and 96,939 is: 146,023.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,354 : 96,939 = 96,939 : x
  2. Step 2: Convert to fraction form
    64,354/96,939 = 96,939/x
  3. Step 3: Cross multiply
    64,354x = 96,939 × 96,939
  4. Step 4: Simplify right side
    64,354x = 9,397,169,721
  5. Step 5: Solve for x
    x = 9,397,169,721/64,354
  6. Step 6: Final answer
    x = 146,023.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.