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Finding the Third Proportional to 48,524.63 and 102,881.25

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Solution

The third proportional to 48,524.63 and 102,881.25 is: 218,127.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,524.63 : 102,881.25 = 102,881.25 : x
  2. Step 2: Convert to fraction form
    48,524.63/102,881.25 = 102,881.25/x
  3. Step 3: Cross multiply
    48,524.63x = 102,881.25 × 102,881.25
  4. Step 4: Simplify right side
    48,524.63x = 10,584,551,601.56
  5. Step 5: Solve for x
    x = 10,584,551,601.56/48,524.63
  6. Step 6: Final answer
    x = 218,127.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.