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Finding the Third Proportional to 102,410 and 212,995

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Solution

The third proportional to 102,410 and 212,995 is: 442,992.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,410 : 212,995 = 212,995 : x
  2. Step 2: Convert to fraction form
    102,410/212,995 = 212,995/x
  3. Step 3: Cross multiply
    102,410x = 212,995 × 212,995
  4. Step 4: Simplify right side
    102,410x = 45,366,870,025
  5. Step 5: Solve for x
    x = 45,366,870,025/102,410
  6. Step 6: Final answer
    x = 442,992.58

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.