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Finding the Third Proportional to 56,620 and 105,104

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Solution

The third proportional to 56,620 and 105,104 is: 195,105.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,620 : 105,104 = 105,104 : x
  2. Step 2: Convert to fraction form
    56,620/105,104 = 105,104/x
  3. Step 3: Cross multiply
    56,620x = 105,104 × 105,104
  4. Step 4: Simplify right side
    56,620x = 11,046,850,816
  5. Step 5: Solve for x
    x = 11,046,850,816/56,620
  6. Step 6: Final answer
    x = 195,105.10

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.