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Finding the Third Proportional to 97,272 and 214,956

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Solution

The third proportional to 97,272 and 214,956 is: 475,019.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,272 : 214,956 = 214,956 : x
  2. Step 2: Convert to fraction form
    97,272/214,956 = 214,956/x
  3. Step 3: Cross multiply
    97,272x = 214,956 × 214,956
  4. Step 4: Simplify right side
    97,272x = 46,206,081,936
  5. Step 5: Solve for x
    x = 46,206,081,936/97,272
  6. Step 6: Final answer
    x = 475,019.35

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.