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Finding the Third Proportional to 75,116 and 160,896

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Solution

The third proportional to 75,116 and 160,896 is: 344,633.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,116 : 160,896 = 160,896 : x
  2. Step 2: Convert to fraction form
    75,116/160,896 = 160,896/x
  3. Step 3: Cross multiply
    75,116x = 160,896 × 160,896
  4. Step 4: Simplify right side
    75,116x = 25,887,522,816
  5. Step 5: Solve for x
    x = 25,887,522,816/75,116
  6. Step 6: Final answer
    x = 344,633.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.