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Finding the Third Proportional to 64,694 and 96,641

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Solution

The third proportional to 64,694 and 96,641 is: 144,363.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,694 : 96,641 = 96,641 : x
  2. Step 2: Convert to fraction form
    64,694/96,641 = 96,641/x
  3. Step 3: Cross multiply
    64,694x = 96,641 × 96,641
  4. Step 4: Simplify right side
    64,694x = 9,339,482,881
  5. Step 5: Solve for x
    x = 9,339,482,881/64,694
  6. Step 6: Final answer
    x = 144,363.97

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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.