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Finding the Third Proportional to 113,133.75 and 167,744.25

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Solution

The third proportional to 113,133.75 and 167,744.25 is: 248,715.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,133.75 : 167,744.25 = 167,744.25 : x
  2. Step 2: Convert to fraction form
    113,133.75/167,744.25 = 167,744.25/x
  3. Step 3: Cross multiply
    113,133.75x = 167,744.25 × 167,744.25
  4. Step 4: Simplify right side
    113,133.75x = 28,138,133,408.06
  5. Step 5: Solve for x
    x = 28,138,133,408.06/113,133.75
  6. Step 6: Final answer
    x = 248,715.64

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.