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Finding the Third Proportional to 102,584 and 155,249

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Solution

The third proportional to 102,584 and 155,249 is: 234,951.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,584 : 155,249 = 155,249 : x
  2. Step 2: Convert to fraction form
    102,584/155,249 = 155,249/x
  3. Step 3: Cross multiply
    102,584x = 155,249 × 155,249
  4. Step 4: Simplify right side
    102,584x = 24,102,252,001
  5. Step 5: Solve for x
    x = 24,102,252,001/102,584
  6. Step 6: Final answer
    x = 234,951.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.