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Finding the Third Proportional to 97,285 and 207,125

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Solution

The third proportional to 97,285 and 207,125 is: 440,980.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,285 : 207,125 = 207,125 : x
  2. Step 2: Convert to fraction form
    97,285/207,125 = 207,125/x
  3. Step 3: Cross multiply
    97,285x = 207,125 × 207,125
  4. Step 4: Simplify right side
    97,285x = 42,900,765,625
  5. Step 5: Solve for x
    x = 42,900,765,625/97,285
  6. Step 6: Final answer
    x = 440,980.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.