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Finding the Third Proportional to 102,504 and 159,084

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Solution

The third proportional to 102,504 and 159,084 is: 246,894.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,504 : 159,084 = 159,084 : x
  2. Step 2: Convert to fraction form
    102,504/159,084 = 159,084/x
  3. Step 3: Cross multiply
    102,504x = 159,084 × 159,084
  4. Step 4: Simplify right side
    102,504x = 25,307,719,056
  5. Step 5: Solve for x
    x = 25,307,719,056/102,504
  6. Step 6: Final answer
    x = 246,894.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.