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Finding the Third Proportional to 73,920 and 162,014

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Solution

The third proportional to 73,920 and 162,014 is: 355,093.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,920 : 162,014 = 162,014 : x
  2. Step 2: Convert to fraction form
    73,920/162,014 = 162,014/x
  3. Step 3: Cross multiply
    73,920x = 162,014 × 162,014
  4. Step 4: Simplify right side
    73,920x = 26,248,536,196
  5. Step 5: Solve for x
    x = 26,248,536,196/73,920
  6. Step 6: Final answer
    x = 355,093.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.