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Finding the Third Proportional to 48,845 and 99,072

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Solution

The third proportional to 48,845 and 99,072 is: 200,947.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,845 : 99,072 = 99,072 : x
  2. Step 2: Convert to fraction form
    48,845/99,072 = 99,072/x
  3. Step 3: Cross multiply
    48,845x = 99,072 × 99,072
  4. Step 4: Simplify right side
    48,845x = 9,815,261,184
  5. Step 5: Solve for x
    x = 9,815,261,184/48,845
  6. Step 6: Final answer
    x = 200,947.10

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.