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Finding the Third Proportional to 69,546 and 104,643

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Solution

The third proportional to 69,546 and 104,643 is: 157,452.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,546 : 104,643 = 104,643 : x
  2. Step 2: Convert to fraction form
    69,546/104,643 = 104,643/x
  3. Step 3: Cross multiply
    69,546x = 104,643 × 104,643
  4. Step 4: Simplify right side
    69,546x = 10,950,157,449
  5. Step 5: Solve for x
    x = 10,950,157,449/69,546
  6. Step 6: Final answer
    x = 157,452.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.