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Finding the Third Proportional to 74,932 and 160,491

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Solution

The third proportional to 74,932 and 160,491 is: 343,743.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,932 : 160,491 = 160,491 : x
  2. Step 2: Convert to fraction form
    74,932/160,491 = 160,491/x
  3. Step 3: Cross multiply
    74,932x = 160,491 × 160,491
  4. Step 4: Simplify right side
    74,932x = 25,757,361,081
  5. Step 5: Solve for x
    x = 25,757,361,081/74,932
  6. Step 6: Final answer
    x = 343,743.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.