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Finding the Third Proportional to 74,832 and 114,408

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Solution

The third proportional to 74,832 and 114,408 is: 174,914.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,832 : 114,408 = 114,408 : x
  2. Step 2: Convert to fraction form
    74,832/114,408 = 114,408/x
  3. Step 3: Cross multiply
    74,832x = 114,408 × 114,408
  4. Step 4: Simplify right side
    74,832x = 13,089,190,464
  5. Step 5: Solve for x
    x = 13,089,190,464/74,832
  6. Step 6: Final answer
    x = 174,914.35

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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.