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Finding the Third Proportional to 89,560 and 195,104

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Solution

The third proportional to 89,560 and 195,104 is: 425,028.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,560 : 195,104 = 195,104 : x
  2. Step 2: Convert to fraction form
    89,560/195,104 = 195,104/x
  3. Step 3: Cross multiply
    89,560x = 195,104 × 195,104
  4. Step 4: Simplify right side
    89,560x = 38,065,570,816
  5. Step 5: Solve for x
    x = 38,065,570,816/89,560
  6. Step 6: Final answer
    x = 425,028.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.