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Finding the Third Proportional to 74,016 and 162,794.25

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Solution

The third proportional to 74,016 and 162,794.25 is: 358,057.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,016 : 162,794.25 = 162,794.25 : x
  2. Step 2: Convert to fraction form
    74,016/162,794.25 = 162,794.25/x
  3. Step 3: Cross multiply
    74,016x = 162,794.25 × 162,794.25
  4. Step 4: Simplify right side
    74,016x = 26,501,967,833.06
  5. Step 5: Solve for x
    x = 26,501,967,833.06/74,016
  6. Step 6: Final answer
    x = 358,057.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.