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Finding the Third Proportional to 74,491 and 113,969

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Solution

The third proportional to 74,491 and 113,969 is: 174,369.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,491 : 113,969 = 113,969 : x
  2. Step 2: Convert to fraction form
    74,491/113,969 = 113,969/x
  3. Step 3: Cross multiply
    74,491x = 113,969 × 113,969
  4. Step 4: Simplify right side
    74,491x = 12,988,932,961
  5. Step 5: Solve for x
    x = 12,988,932,961/74,491
  6. Step 6: Final answer
    x = 174,369.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.