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Finding the Third Proportional to 95,580 and 207,774

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Solution

The third proportional to 95,580 and 207,774 is: 451,663.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,580 : 207,774 = 207,774 : x
  2. Step 2: Convert to fraction form
    95,580/207,774 = 207,774/x
  3. Step 3: Cross multiply
    95,580x = 207,774 × 207,774
  4. Step 4: Simplify right side
    95,580x = 43,170,035,076
  5. Step 5: Solve for x
    x = 43,170,035,076/95,580
  6. Step 6: Final answer
    x = 451,663.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.