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Finding the Third Proportional to 69,023 and 148,009

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Solution

The third proportional to 69,023 and 148,009 is: 317,382.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,023 : 148,009 = 148,009 : x
  2. Step 2: Convert to fraction form
    69,023/148,009 = 148,009/x
  3. Step 3: Cross multiply
    69,023x = 148,009 × 148,009
  4. Step 4: Simplify right side
    69,023x = 21,906,664,081
  5. Step 5: Solve for x
    x = 21,906,664,081/69,023
  6. Step 6: Final answer
    x = 317,382.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.