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Finding the Third Proportional to 97,046 and 205,756

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Solution

The third proportional to 97,046 and 205,756 is: 436,241.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,046 : 205,756 = 205,756 : x
  2. Step 2: Convert to fraction form
    97,046/205,756 = 205,756/x
  3. Step 3: Cross multiply
    97,046x = 205,756 × 205,756
  4. Step 4: Simplify right side
    97,046x = 42,335,531,536
  5. Step 5: Solve for x
    x = 42,335,531,536/97,046
  6. Step 6: Final answer
    x = 436,241.90

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.