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Finding the Third Proportional to 63,884 and 96,717

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Solution

The third proportional to 63,884 and 96,717 is: 146,424.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,884 : 96,717 = 96,717 : x
  2. Step 2: Convert to fraction form
    63,884/96,717 = 96,717/x
  3. Step 3: Cross multiply
    63,884x = 96,717 × 96,717
  4. Step 4: Simplify right side
    63,884x = 9,354,178,089
  5. Step 5: Solve for x
    x = 9,354,178,089/63,884
  6. Step 6: Final answer
    x = 146,424.43

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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.