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Finding the Third Proportional to 73,846 and 162,460

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Solution

The third proportional to 73,846 and 162,460 is: 357,409.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,846 : 162,460 = 162,460 : x
  2. Step 2: Convert to fraction form
    73,846/162,460 = 162,460/x
  3. Step 3: Cross multiply
    73,846x = 162,460 × 162,460
  4. Step 4: Simplify right side
    73,846x = 26,393,251,600
  5. Step 5: Solve for x
    x = 26,393,251,600/73,846
  6. Step 6: Final answer
    x = 357,409.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.