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Finding the Third Proportional to 45,864 and 69,258

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Solution

The third proportional to 45,864 and 69,258 is: 104,584.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,864 : 69,258 = 69,258 : x
  2. Step 2: Convert to fraction form
    45,864/69,258 = 69,258/x
  3. Step 3: Cross multiply
    45,864x = 69,258 × 69,258
  4. Step 4: Simplify right side
    45,864x = 4,796,670,564
  5. Step 5: Solve for x
    x = 4,796,670,564/45,864
  6. Step 6: Final answer
    x = 104,584.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.