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Finding the Third Proportional to 74,846 and 161,356

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Solution

The third proportional to 74,846 and 161,356 is: 347,857.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,846 : 161,356 = 161,356 : x
  2. Step 2: Convert to fraction form
    74,846/161,356 = 161,356/x
  3. Step 3: Cross multiply
    74,846x = 161,356 × 161,356
  4. Step 4: Simplify right side
    74,846x = 26,035,758,736
  5. Step 5: Solve for x
    x = 26,035,758,736/74,846
  6. Step 6: Final answer
    x = 347,857.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.