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Finding the Third Proportional to 97,566 and 202,530

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Solution

The third proportional to 97,566 and 202,530 is: 420,416.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,566 : 202,530 = 202,530 : x
  2. Step 2: Convert to fraction form
    97,566/202,530 = 202,530/x
  3. Step 3: Cross multiply
    97,566x = 202,530 × 202,530
  4. Step 4: Simplify right side
    97,566x = 41,018,400,900
  5. Step 5: Solve for x
    x = 41,018,400,900/97,566
  6. Step 6: Final answer
    x = 420,416.96

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.