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Finding the Third Proportional to 102,559 and 222,605

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Solution

The third proportional to 102,559 and 222,605 is: 483,165.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,559 : 222,605 = 222,605 : x
  2. Step 2: Convert to fraction form
    102,559/222,605 = 222,605/x
  3. Step 3: Cross multiply
    102,559x = 222,605 × 222,605
  4. Step 4: Simplify right side
    102,559x = 49,552,986,025
  5. Step 5: Solve for x
    x = 49,552,986,025/102,559
  6. Step 6: Final answer
    x = 483,165.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.