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Finding the Third Proportional to 95,304 and 181,968

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Solution

The third proportional to 95,304 and 181,968 is: 347,439.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,304 : 181,968 = 181,968 : x
  2. Step 2: Convert to fraction form
    95,304/181,968 = 181,968/x
  3. Step 3: Cross multiply
    95,304x = 181,968 × 181,968
  4. Step 4: Simplify right side
    95,304x = 33,112,353,024
  5. Step 5: Solve for x
    x = 33,112,353,024/95,304
  6. Step 6: Final answer
    x = 347,439.28

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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.