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Finding the Third Proportional to 90,672 and 197,475

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Solution

The third proportional to 90,672 and 197,475 is: 430,081.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,672 : 197,475 = 197,475 : x
  2. Step 2: Convert to fraction form
    90,672/197,475 = 197,475/x
  3. Step 3: Cross multiply
    90,672x = 197,475 × 197,475
  4. Step 4: Simplify right side
    90,672x = 38,996,375,625
  5. Step 5: Solve for x
    x = 38,996,375,625/90,672
  6. Step 6: Final answer
    x = 430,081.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.