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Finding the Third Proportional to 113,676.75 and 169,812.75

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Solution

The third proportional to 113,676.75 and 169,812.75 is: 253,669.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,676.75 : 169,812.75 = 169,812.75 : x
  2. Step 2: Convert to fraction form
    113,676.75/169,812.75 = 169,812.75/x
  3. Step 3: Cross multiply
    113,676.75x = 169,812.75 × 169,812.75
  4. Step 4: Simplify right side
    113,676.75x = 28,836,370,062.56
  5. Step 5: Solve for x
    x = 28,836,370,062.56/113,676.75
  6. Step 6: Final answer
    x = 253,669.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.