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Finding the Third Proportional to 97,081 and 207,659

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Solution

The third proportional to 97,081 and 207,659 is: 444,188.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,081 : 207,659 = 207,659 : x
  2. Step 2: Convert to fraction form
    97,081/207,659 = 207,659/x
  3. Step 3: Cross multiply
    97,081x = 207,659 × 207,659
  4. Step 4: Simplify right side
    97,081x = 43,122,260,281
  5. Step 5: Solve for x
    x = 43,122,260,281/97,081
  6. Step 6: Final answer
    x = 444,188.46

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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.