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Finding the Third Proportional to 113,463.56 and 154,170.56

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Solution

The third proportional to 113,463.56 and 154,170.56 is: 209,481.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,463.56 : 154,170.56 = 154,170.56 : x
  2. Step 2: Convert to fraction form
    113,463.56/154,170.56 = 154,170.56/x
  3. Step 3: Cross multiply
    113,463.56x = 154,170.56 × 154,170.56
  4. Step 4: Simplify right side
    113,463.56x = 23,768,562,341.57
  5. Step 5: Solve for x
    x = 23,768,562,341.57/113,463.56
  6. Step 6: Final answer
    x = 209,481.90

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.