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Finding the Third Proportional to 73,922 and 162,013

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Solution

The third proportional to 73,922 and 162,013 is: 355,079.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,922 : 162,013 = 162,013 : x
  2. Step 2: Convert to fraction form
    73,922/162,013 = 162,013/x
  3. Step 3: Cross multiply
    73,922x = 162,013 × 162,013
  4. Step 4: Simplify right side
    73,922x = 26,248,212,169
  5. Step 5: Solve for x
    x = 26,248,212,169/73,922
  6. Step 6: Final answer
    x = 355,079.84

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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.