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Finding the Third Proportional to 46,258 and 69,204

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Solution

The third proportional to 46,258 and 69,204 is: 103,532.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,258 : 69,204 = 69,204 : x
  2. Step 2: Convert to fraction form
    46,258/69,204 = 69,204/x
  3. Step 3: Cross multiply
    46,258x = 69,204 × 69,204
  4. Step 4: Simplify right side
    46,258x = 4,789,193,616
  5. Step 5: Solve for x
    x = 4,789,193,616/46,258
  6. Step 6: Final answer
    x = 103,532.22

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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.