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Finding the Third Proportional to 75,888 and 163,008

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Solution

The third proportional to 75,888 and 163,008 is: 350,142.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,888 : 163,008 = 163,008 : x
  2. Step 2: Convert to fraction form
    75,888/163,008 = 163,008/x
  3. Step 3: Cross multiply
    75,888x = 163,008 × 163,008
  4. Step 4: Simplify right side
    75,888x = 26,571,608,064
  5. Step 5: Solve for x
    x = 26,571,608,064/75,888
  6. Step 6: Final answer
    x = 350,142.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.