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Finding the Third Proportional to 74,794 and 161,481

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Solution

The third proportional to 74,794 and 161,481 is: 348,639.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,794 : 161,481 = 161,481 : x
  2. Step 2: Convert to fraction form
    74,794/161,481 = 161,481/x
  3. Step 3: Cross multiply
    74,794x = 161,481 × 161,481
  4. Step 4: Simplify right side
    74,794x = 26,076,113,361
  5. Step 5: Solve for x
    x = 26,076,113,361/74,794
  6. Step 6: Final answer
    x = 348,639.11

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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.