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Finding the Third Proportional to 113,845.75 and 169,844.50

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Solution

The third proportional to 113,845.75 and 169,844.50 is: 253,388.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,845.75 : 169,844.50 = 169,844.50 : x
  2. Step 2: Convert to fraction form
    113,845.75/169,844.50 = 169,844.50/x
  3. Step 3: Cross multiply
    113,845.75x = 169,844.50 × 169,844.50
  4. Step 4: Simplify right side
    113,845.75x = 28,847,154,180.25
  5. Step 5: Solve for x
    x = 28,847,154,180.25/113,845.75
  6. Step 6: Final answer
    x = 253,388.06

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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.