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Finding the Third Proportional to 74,061 and 162,945

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Solution

The third proportional to 74,061 and 162,945 is: 358,502.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,061 : 162,945 = 162,945 : x
  2. Step 2: Convert to fraction form
    74,061/162,945 = 162,945/x
  3. Step 3: Cross multiply
    74,061x = 162,945 × 162,945
  4. Step 4: Simplify right side
    74,061x = 26,551,073,025
  5. Step 5: Solve for x
    x = 26,551,073,025/74,061
  6. Step 6: Final answer
    x = 358,502.76

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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.