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Finding the Third Proportional to 77,049 and 160,146

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Solution

The third proportional to 77,049 and 160,146 is: 332,862.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,049 : 160,146 = 160,146 : x
  2. Step 2: Convert to fraction form
    77,049/160,146 = 160,146/x
  3. Step 3: Cross multiply
    77,049x = 160,146 × 160,146
  4. Step 4: Simplify right side
    77,049x = 25,646,741,316
  5. Step 5: Solve for x
    x = 25,646,741,316/77,049
  6. Step 6: Final answer
    x = 332,862.74

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.