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Finding the Third Proportional to 73,018 and 161,886

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Solution

The third proportional to 73,018 and 161,886 is: 358,912.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,018 : 161,886 = 161,886 : x
  2. Step 2: Convert to fraction form
    73,018/161,886 = 161,886/x
  3. Step 3: Cross multiply
    73,018x = 161,886 × 161,886
  4. Step 4: Simplify right side
    73,018x = 26,207,076,996
  5. Step 5: Solve for x
    x = 26,207,076,996/73,018
  6. Step 6: Final answer
    x = 358,912.56

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.