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Finding the Third Proportional to 48,293 and 76,844

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Solution

The third proportional to 48,293 and 76,844 is: 122,274.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,293 : 76,844 = 76,844 : x
  2. Step 2: Convert to fraction form
    48,293/76,844 = 76,844/x
  3. Step 3: Cross multiply
    48,293x = 76,844 × 76,844
  4. Step 4: Simplify right side
    48,293x = 5,905,000,336
  5. Step 5: Solve for x
    x = 5,905,000,336/48,293
  6. Step 6: Final answer
    x = 122,274.46

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.