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Finding the Third Proportional to 69,060 and 151,293

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Solution

The third proportional to 69,060 and 151,293 is: 331,444.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,060 : 151,293 = 151,293 : x
  2. Step 2: Convert to fraction form
    69,060/151,293 = 151,293/x
  3. Step 3: Cross multiply
    69,060x = 151,293 × 151,293
  4. Step 4: Simplify right side
    69,060x = 22,889,571,849
  5. Step 5: Solve for x
    x = 22,889,571,849/69,060
  6. Step 6: Final answer
    x = 331,444.71

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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.