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Finding the Third Proportional to 69,158 and 151,564

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Solution

The third proportional to 69,158 and 151,564 is: 332,161.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,158 : 151,564 = 151,564 : x
  2. Step 2: Convert to fraction form
    69,158/151,564 = 151,564/x
  3. Step 3: Cross multiply
    69,158x = 151,564 × 151,564
  4. Step 4: Simplify right side
    69,158x = 22,971,646,096
  5. Step 5: Solve for x
    x = 22,971,646,096/69,158
  6. Step 6: Final answer
    x = 332,161.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.