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Finding the Third Proportional to 50,056 and 107,840

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Solution

The third proportional to 50,056 and 107,840 is: 232,329.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,056 : 107,840 = 107,840 : x
  2. Step 2: Convert to fraction form
    50,056/107,840 = 107,840/x
  3. Step 3: Cross multiply
    50,056x = 107,840 × 107,840
  4. Step 4: Simplify right side
    50,056x = 11,629,465,600
  5. Step 5: Solve for x
    x = 11,629,465,600/50,056
  6. Step 6: Final answer
    x = 232,329.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.