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Finding the Third Proportional to 64,686 and 96,632

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Solution

The third proportional to 64,686 and 96,632 is: 144,354.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,686 : 96,632 = 96,632 : x
  2. Step 2: Convert to fraction form
    64,686/96,632 = 96,632/x
  3. Step 3: Cross multiply
    64,686x = 96,632 × 96,632
  4. Step 4: Simplify right side
    64,686x = 9,337,743,424
  5. Step 5: Solve for x
    x = 9,337,743,424/64,686
  6. Step 6: Final answer
    x = 144,354.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.