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Finding the Third Proportional to 103,494 and 162,007

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Solution

The third proportional to 103,494 and 162,007 is: 253,601.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,494 : 162,007 = 162,007 : x
  2. Step 2: Convert to fraction form
    103,494/162,007 = 162,007/x
  3. Step 3: Cross multiply
    103,494x = 162,007 × 162,007
  4. Step 4: Simplify right side
    103,494x = 26,246,268,049
  5. Step 5: Solve for x
    x = 26,246,268,049/103,494
  6. Step 6: Final answer
    x = 253,601.83

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.