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Finding the Third Proportional to 102,852 and 155,374

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Solution

The third proportional to 102,852 and 155,374 is: 234,716.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,852 : 155,374 = 155,374 : x
  2. Step 2: Convert to fraction form
    102,852/155,374 = 155,374/x
  3. Step 3: Cross multiply
    102,852x = 155,374 × 155,374
  4. Step 4: Simplify right side
    102,852x = 24,141,079,876
  5. Step 5: Solve for x
    x = 24,141,079,876/102,852
  6. Step 6: Final answer
    x = 234,716.68

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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.