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Finding the Third Proportional to 75,764 and 161,248

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Solution

The third proportional to 75,764 and 161,248 is: 343,183.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,764 : 161,248 = 161,248 : x
  2. Step 2: Convert to fraction form
    75,764/161,248 = 161,248/x
  3. Step 3: Cross multiply
    75,764x = 161,248 × 161,248
  4. Step 4: Simplify right side
    75,764x = 26,000,917,504
  5. Step 5: Solve for x
    x = 26,000,917,504/75,764
  6. Step 6: Final answer
    x = 343,183.01

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.