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Finding the Third Proportional to 48,845 and 104,602

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Solution

The third proportional to 48,845 and 104,602 is: 224,006.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,845 : 104,602 = 104,602 : x
  2. Step 2: Convert to fraction form
    48,845/104,602 = 104,602/x
  3. Step 3: Cross multiply
    48,845x = 104,602 × 104,602
  4. Step 4: Simplify right side
    48,845x = 10,941,578,404
  5. Step 5: Solve for x
    x = 10,941,578,404/48,845
  6. Step 6: Final answer
    x = 224,006.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.