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Finding the Third Proportional to 95,232 and 181,824

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Solution

The third proportional to 95,232 and 181,824 is: 347,151.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,232 : 181,824 = 181,824 : x
  2. Step 2: Convert to fraction form
    95,232/181,824 = 181,824/x
  3. Step 3: Cross multiply
    95,232x = 181,824 × 181,824
  4. Step 4: Simplify right side
    95,232x = 33,059,966,976
  5. Step 5: Solve for x
    x = 33,059,966,976/95,232
  6. Step 6: Final answer
    x = 347,151.87

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.