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Finding the Third Proportional to 73,670 and 160,833

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Solution

The third proportional to 73,670 and 160,833 is: 351,123.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,670 : 160,833 = 160,833 : x
  2. Step 2: Convert to fraction form
    73,670/160,833 = 160,833/x
  3. Step 3: Cross multiply
    73,670x = 160,833 × 160,833
  4. Step 4: Simplify right side
    73,670x = 25,867,253,889
  5. Step 5: Solve for x
    x = 25,867,253,889/73,670
  6. Step 6: Final answer
    x = 351,123.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.