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Finding the Third Proportional to 69,490 and 143,744

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Solution

The third proportional to 69,490 and 143,744 is: 297,342.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,490 : 143,744 = 143,744 : x
  2. Step 2: Convert to fraction form
    69,490/143,744 = 143,744/x
  3. Step 3: Cross multiply
    69,490x = 143,744 × 143,744
  4. Step 4: Simplify right side
    69,490x = 20,662,337,536
  5. Step 5: Solve for x
    x = 20,662,337,536/69,490
  6. Step 6: Final answer
    x = 297,342.60

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.