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Finding the Third Proportional to 69,694 and 93,641

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Solution

The third proportional to 69,694 and 93,641 is: 125,816.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,694 : 93,641 = 93,641 : x
  2. Step 2: Convert to fraction form
    69,694/93,641 = 93,641/x
  3. Step 3: Cross multiply
    69,694x = 93,641 × 93,641
  4. Step 4: Simplify right side
    69,694x = 8,768,636,881
  5. Step 5: Solve for x
    x = 8,768,636,881/69,694
  6. Step 6: Final answer
    x = 125,816.24

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.