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Finding the Third Proportional to 73,921 and 161,784

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Solution

The third proportional to 73,921 and 161,784 is: 354,081.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,921 : 161,784 = 161,784 : x
  2. Step 2: Convert to fraction form
    73,921/161,784 = 161,784/x
  3. Step 3: Cross multiply
    73,921x = 161,784 × 161,784
  4. Step 4: Simplify right side
    73,921x = 26,174,062,656
  5. Step 5: Solve for x
    x = 26,174,062,656/73,921
  6. Step 6: Final answer
    x = 354,081.56

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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.