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Finding the Third Proportional to 50,602 and 110,924

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Solution

The third proportional to 50,602 and 110,924 is: 243,155.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,602 : 110,924 = 110,924 : x
  2. Step 2: Convert to fraction form
    50,602/110,924 = 110,924/x
  3. Step 3: Cross multiply
    50,602x = 110,924 × 110,924
  4. Step 4: Simplify right side
    50,602x = 12,304,133,776
  5. Step 5: Solve for x
    x = 12,304,133,776/50,602
  6. Step 6: Final answer
    x = 243,155.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.