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Finding the Third Proportional to 89,870 and 195,595

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Solution

The third proportional to 89,870 and 195,595 is: 425,697.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,870 : 195,595 = 195,595 : x
  2. Step 2: Convert to fraction form
    89,870/195,595 = 195,595/x
  3. Step 3: Cross multiply
    89,870x = 195,595 × 195,595
  4. Step 4: Simplify right side
    89,870x = 38,257,404,025
  5. Step 5: Solve for x
    x = 38,257,404,025/89,870
  6. Step 6: Final answer
    x = 425,697.16

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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.