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Finding the Third Proportional to 102,538 and 155,174

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Solution

The third proportional to 102,538 and 155,174 is: 234,829.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,538 : 155,174 = 155,174 : x
  2. Step 2: Convert to fraction form
    102,538/155,174 = 155,174/x
  3. Step 3: Cross multiply
    102,538x = 155,174 × 155,174
  4. Step 4: Simplify right side
    102,538x = 24,078,970,276
  5. Step 5: Solve for x
    x = 24,078,970,276/102,538
  6. Step 6: Final answer
    x = 234,829.72

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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.