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Finding the Third Proportional to 69,008 and 147,856

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Solution

The third proportional to 69,008 and 147,856 is: 316,795.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,008 : 147,856 = 147,856 : x
  2. Step 2: Convert to fraction form
    69,008/147,856 = 147,856/x
  3. Step 3: Cross multiply
    69,008x = 147,856 × 147,856
  4. Step 4: Simplify right side
    69,008x = 21,861,396,736
  5. Step 5: Solve for x
    x = 21,861,396,736/69,008
  6. Step 6: Final answer
    x = 316,795.11

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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.