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Finding the Third Proportional to 75,944 and 116,896

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Solution

The third proportional to 75,944 and 116,896 is: 179,930.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,944 : 116,896 = 116,896 : x
  2. Step 2: Convert to fraction form
    75,944/116,896 = 116,896/x
  3. Step 3: Cross multiply
    75,944x = 116,896 × 116,896
  4. Step 4: Simplify right side
    75,944x = 13,664,674,816
  5. Step 5: Solve for x
    x = 13,664,674,816/75,944
  6. Step 6: Final answer
    x = 179,930.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.