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Finding the Third Proportional to 97,077 and 207,654

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Solution

The third proportional to 97,077 and 207,654 is: 444,185.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,077 : 207,654 = 207,654 : x
  2. Step 2: Convert to fraction form
    97,077/207,654 = 207,654/x
  3. Step 3: Cross multiply
    97,077x = 207,654 × 207,654
  4. Step 4: Simplify right side
    97,077x = 43,120,183,716
  5. Step 5: Solve for x
    x = 43,120,183,716/97,077
  6. Step 6: Final answer
    x = 444,185.38

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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.