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Finding the Third Proportional to 89,562 and 195,108

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Solution

The third proportional to 89,562 and 195,108 is: 425,036.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,562 : 195,108 = 195,108 : x
  2. Step 2: Convert to fraction form
    89,562/195,108 = 195,108/x
  3. Step 3: Cross multiply
    89,562x = 195,108 × 195,108
  4. Step 4: Simplify right side
    89,562x = 38,067,131,664
  5. Step 5: Solve for x
    x = 38,067,131,664/89,562
  6. Step 6: Final answer
    x = 425,036.64

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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.