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Finding the Third Proportional to 48,203.50 and 74,137.75

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Solution

The third proportional to 48,203.50 and 74,137.75 is: 114,025.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,203.50 : 74,137.75 = 74,137.75 : x
  2. Step 2: Convert to fraction form
    48,203.50/74,137.75 = 74,137.75/x
  3. Step 3: Cross multiply
    48,203.50x = 74,137.75 × 74,137.75
  4. Step 4: Simplify right side
    48,203.50x = 5,496,405,975.06
  5. Step 5: Solve for x
    x = 5,496,405,975.06/48,203.50
  6. Step 6: Final answer
    x = 114,025.04

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.