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Finding the Third Proportional to 69,494 and 151,534

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Solution

The third proportional to 69,494 and 151,534 is: 330,424.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,494 : 151,534 = 151,534 : x
  2. Step 2: Convert to fraction form
    69,494/151,534 = 151,534/x
  3. Step 3: Cross multiply
    69,494x = 151,534 × 151,534
  4. Step 4: Simplify right side
    69,494x = 22,962,553,156
  5. Step 5: Solve for x
    x = 22,962,553,156/69,494
  6. Step 6: Final answer
    x = 330,424.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.