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Finding the Third Proportional to 69,358.50 and 149,643

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Solution

The third proportional to 69,358.50 and 149,643 is: 322,859.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,358.50 : 149,643 = 149,643 : x
  2. Step 2: Convert to fraction form
    69,358.50/149,643 = 149,643/x
  3. Step 3: Cross multiply
    69,358.50x = 149,643 × 149,643
  4. Step 4: Simplify right side
    69,358.50x = 22,393,027,449
  5. Step 5: Solve for x
    x = 22,393,027,449/69,358.50
  6. Step 6: Final answer
    x = 322,859.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.