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Finding the Third Proportional to 48,717 and 104,953.50

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Solution

The third proportional to 48,717 and 104,953.50 is: 226,106.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,717 : 104,953.50 = 104,953.50 : x
  2. Step 2: Convert to fraction form
    48,717/104,953.50 = 104,953.50/x
  3. Step 3: Cross multiply
    48,717x = 104,953.50 × 104,953.50
  4. Step 4: Simplify right side
    48,717x = 11,015,237,162.25
  5. Step 5: Solve for x
    x = 11,015,237,162.25/48,717
  6. Step 6: Final answer
    x = 226,106.64

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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.