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Finding the Third Proportional to 95,334 and 182,010

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Solution

The third proportional to 95,334 and 182,010 is: 347,490.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,334 : 182,010 = 182,010 : x
  2. Step 2: Convert to fraction form
    95,334/182,010 = 182,010/x
  3. Step 3: Cross multiply
    95,334x = 182,010 × 182,010
  4. Step 4: Simplify right side
    95,334x = 33,127,640,100
  5. Step 5: Solve for x
    x = 33,127,640,100/95,334
  6. Step 6: Final answer
    x = 347,490.30

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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.