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Finding the Third Proportional to 102,404 and 160,295

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Solution

The third proportional to 102,404 and 160,295 is: 250,912.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,404 : 160,295 = 160,295 : x
  2. Step 2: Convert to fraction form
    102,404/160,295 = 160,295/x
  3. Step 3: Cross multiply
    102,404x = 160,295 × 160,295
  4. Step 4: Simplify right side
    102,404x = 25,694,487,025
  5. Step 5: Solve for x
    x = 25,694,487,025/102,404
  6. Step 6: Final answer
    x = 250,912.92

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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.