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Finding the Third Proportional to 73,503 and 161,018

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Solution

The third proportional to 73,503 and 161,018 is: 352,731.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,503 : 161,018 = 161,018 : x
  2. Step 2: Convert to fraction form
    73,503/161,018 = 161,018/x
  3. Step 3: Cross multiply
    73,503x = 161,018 × 161,018
  4. Step 4: Simplify right side
    73,503x = 25,926,796,324
  5. Step 5: Solve for x
    x = 25,926,796,324/73,503
  6. Step 6: Final answer
    x = 352,731.13

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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.