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Finding the Third Proportional to 69,692 and 93,643

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Solution

The third proportional to 69,692 and 93,643 is: 125,825.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,692 : 93,643 = 93,643 : x
  2. Step 2: Convert to fraction form
    69,692/93,643 = 93,643/x
  3. Step 3: Cross multiply
    69,692x = 93,643 × 93,643
  4. Step 4: Simplify right side
    69,692x = 8,769,011,449
  5. Step 5: Solve for x
    x = 8,769,011,449/69,692
  6. Step 6: Final answer
    x = 125,825.22

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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.