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Finding the Third Proportional to 42,348 and 90,174

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Solution

The third proportional to 42,348 and 90,174 is: 192,012.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,348 : 90,174 = 90,174 : x
  2. Step 2: Convert to fraction form
    42,348/90,174 = 90,174/x
  3. Step 3: Cross multiply
    42,348x = 90,174 × 90,174
  4. Step 4: Simplify right side
    42,348x = 8,131,350,276
  5. Step 5: Solve for x
    x = 8,131,350,276/42,348
  6. Step 6: Final answer
    x = 192,012.62

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.