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Finding the Third Proportional to 73,182 and 157,764

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Solution

The third proportional to 73,182 and 157,764 is: 340,103.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,182 : 157,764 = 157,764 : x
  2. Step 2: Convert to fraction form
    73,182/157,764 = 157,764/x
  3. Step 3: Cross multiply
    73,182x = 157,764 × 157,764
  4. Step 4: Simplify right side
    73,182x = 24,889,479,696
  5. Step 5: Solve for x
    x = 24,889,479,696/73,182
  6. Step 6: Final answer
    x = 340,103.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.