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Finding the Third Proportional to 116,249 and 179,559

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Solution

The third proportional to 116,249 and 179,559 is: 277,348.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,249 : 179,559 = 179,559 : x
  2. Step 2: Convert to fraction form
    116,249/179,559 = 179,559/x
  3. Step 3: Cross multiply
    116,249x = 179,559 × 179,559
  4. Step 4: Simplify right side
    116,249x = 32,241,434,481
  5. Step 5: Solve for x
    x = 32,241,434,481/116,249
  6. Step 6: Final answer
    x = 277,348.06

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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.