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Finding the Third Proportional to 64,684 and 96,629

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Solution

The third proportional to 64,684 and 96,629 is: 144,350.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,684 : 96,629 = 96,629 : x
  2. Step 2: Convert to fraction form
    64,684/96,629 = 96,629/x
  3. Step 3: Cross multiply
    64,684x = 96,629 × 96,629
  4. Step 4: Simplify right side
    64,684x = 9,337,163,641
  5. Step 5: Solve for x
    x = 9,337,163,641/64,684
  6. Step 6: Final answer
    x = 144,350.44

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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.