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Finding the Third Proportional to 48,738.50 and 104,729

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Solution

The third proportional to 48,738.50 and 104,729 is: 225,041.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,738.50 : 104,729 = 104,729 : x
  2. Step 2: Convert to fraction form
    48,738.50/104,729 = 104,729/x
  3. Step 3: Cross multiply
    48,738.50x = 104,729 × 104,729
  4. Step 4: Simplify right side
    48,738.50x = 10,968,163,441
  5. Step 5: Solve for x
    x = 10,968,163,441/48,738.50
  6. Step 6: Final answer
    x = 225,041.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.