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Finding the Third Proportional to 74,237 and 161,797

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Solution

The third proportional to 74,237 and 161,797 is: 352,631.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,237 : 161,797 = 161,797 : x
  2. Step 2: Convert to fraction form
    74,237/161,797 = 161,797/x
  3. Step 3: Cross multiply
    74,237x = 161,797 × 161,797
  4. Step 4: Simplify right side
    74,237x = 26,178,269,209
  5. Step 5: Solve for x
    x = 26,178,269,209/74,237
  6. Step 6: Final answer
    x = 352,631.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.