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Finding the Third Proportional to 73,946.25 and 161,885.81

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Solution

The third proportional to 73,946.25 and 161,885.81 is: 354,406.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,946.25 : 161,885.81 = 161,885.81 : x
  2. Step 2: Convert to fraction form
    73,946.25/161,885.81 = 161,885.81/x
  3. Step 3: Cross multiply
    73,946.25x = 161,885.81 × 161,885.81
  4. Step 4: Simplify right side
    73,946.25x = 26,207,016,288.79
  5. Step 5: Solve for x
    x = 26,207,016,288.79/73,946.25
  6. Step 6: Final answer
    x = 354,406.29

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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.