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Finding the Third Proportional to 75,204 and 160,776

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Solution

The third proportional to 75,204 and 160,776 is: 343,717.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,204 : 160,776 = 160,776 : x
  2. Step 2: Convert to fraction form
    75,204/160,776 = 160,776/x
  3. Step 3: Cross multiply
    75,204x = 160,776 × 160,776
  4. Step 4: Simplify right side
    75,204x = 25,848,922,176
  5. Step 5: Solve for x
    x = 25,848,922,176/75,204
  6. Step 6: Final answer
    x = 343,717.38

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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.