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Finding the Third Proportional to 48,271.50 and 100,954.31

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Solution

The third proportional to 48,271.50 and 100,954.31 is: 211,134.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,271.50 : 100,954.31 = 100,954.31 : x
  2. Step 2: Convert to fraction form
    48,271.50/100,954.31 = 100,954.31/x
  3. Step 3: Cross multiply
    48,271.50x = 100,954.31 × 100,954.31
  4. Step 4: Simplify right side
    48,271.50x = 10,191,773,212.35
  5. Step 5: Solve for x
    x = 10,191,773,212.35/48,271.50
  6. Step 6: Final answer
    x = 211,134.38

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.