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Finding the Third Proportional to 69,922 and 151,508

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Solution

The third proportional to 69,922 and 151,508 is: 328,289.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,922 : 151,508 = 151,508 : x
  2. Step 2: Convert to fraction form
    69,922/151,508 = 151,508/x
  3. Step 3: Cross multiply
    69,922x = 151,508 × 151,508
  4. Step 4: Simplify right side
    69,922x = 22,954,674,064
  5. Step 5: Solve for x
    x = 22,954,674,064/69,922
  6. Step 6: Final answer
    x = 328,289.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.