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Finding the Third Proportional to 97,422 and 202,502

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Solution

The third proportional to 97,422 and 202,502 is: 420,921.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,422 : 202,502 = 202,502 : x
  2. Step 2: Convert to fraction form
    97,422/202,502 = 202,502/x
  3. Step 3: Cross multiply
    97,422x = 202,502 × 202,502
  4. Step 4: Simplify right side
    97,422x = 41,007,060,004
  5. Step 5: Solve for x
    x = 41,007,060,004/97,422
  6. Step 6: Final answer
    x = 420,921.97

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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.