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Finding the Third Proportional to 75,221 and 116,094

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Solution

The third proportional to 75,221 and 116,094 is: 179,176.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,221 : 116,094 = 116,094 : x
  2. Step 2: Convert to fraction form
    75,221/116,094 = 116,094/x
  3. Step 3: Cross multiply
    75,221x = 116,094 × 116,094
  4. Step 4: Simplify right side
    75,221x = 13,477,816,836
  5. Step 5: Solve for x
    x = 13,477,816,836/75,221
  6. Step 6: Final answer
    x = 179,176.25

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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.