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Finding the Third Proportional to 73,500 and 161,013

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Solution

The third proportional to 73,500 and 161,013 is: 352,723.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,500 : 161,013 = 161,013 : x
  2. Step 2: Convert to fraction form
    73,500/161,013 = 161,013/x
  3. Step 3: Cross multiply
    73,500x = 161,013 × 161,013
  4. Step 4: Simplify right side
    73,500x = 25,925,186,169
  5. Step 5: Solve for x
    x = 25,925,186,169/73,500
  6. Step 6: Final answer
    x = 352,723.62

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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.