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Finding the Third Proportional to 113,850.56 and 166,401.84

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Solution

The third proportional to 113,850.56 and 166,401.84 is: 243,209.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,850.56 : 166,401.84 = 166,401.84 : x
  2. Step 2: Convert to fraction form
    113,850.56/166,401.84 = 166,401.84/x
  3. Step 3: Cross multiply
    113,850.56x = 166,401.84 × 166,401.84
  4. Step 4: Simplify right side
    113,850.56x = 27,689,573,603.40
  5. Step 5: Solve for x
    x = 27,689,573,603.40/113,850.56
  6. Step 6: Final answer
    x = 243,209.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.