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Finding the Third Proportional to 74,191.50 and 113,744.25

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Solution

The third proportional to 74,191.50 and 113,744.25 is: 174,383.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,191.50 : 113,744.25 = 113,744.25 : x
  2. Step 2: Convert to fraction form
    74,191.50/113,744.25 = 113,744.25/x
  3. Step 3: Cross multiply
    74,191.50x = 113,744.25 × 113,744.25
  4. Step 4: Simplify right side
    74,191.50x = 12,937,754,408.06
  5. Step 5: Solve for x
    x = 12,937,754,408.06/74,191.50
  6. Step 6: Final answer
    x = 174,383.24

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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.