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Finding the Third Proportional to 90,359 and 193,174

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Solution

The third proportional to 90,359 and 193,174 is: 412,977.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,359 : 193,174 = 193,174 : x
  2. Step 2: Convert to fraction form
    90,359/193,174 = 193,174/x
  3. Step 3: Cross multiply
    90,359x = 193,174 × 193,174
  4. Step 4: Simplify right side
    90,359x = 37,316,194,276
  5. Step 5: Solve for x
    x = 37,316,194,276/90,359
  6. Step 6: Final answer
    x = 412,977.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.