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Finding the Third Proportional to 69,746 and 148,204

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Solution

The third proportional to 69,746 and 148,204 is: 314,920.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,746 : 148,204 = 148,204 : x
  2. Step 2: Convert to fraction form
    69,746/148,204 = 148,204/x
  3. Step 3: Cross multiply
    69,746x = 148,204 × 148,204
  4. Step 4: Simplify right side
    69,746x = 21,964,425,616
  5. Step 5: Solve for x
    x = 21,964,425,616/69,746
  6. Step 6: Final answer
    x = 314,920.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.