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Finding the Third Proportional to 102,892 and 208,646

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Solution

The third proportional to 102,892 and 208,646 is: 423,095.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,892 : 208,646 = 208,646 : x
  2. Step 2: Convert to fraction form
    102,892/208,646 = 208,646/x
  3. Step 3: Cross multiply
    102,892x = 208,646 × 208,646
  4. Step 4: Simplify right side
    102,892x = 43,533,153,316
  5. Step 5: Solve for x
    x = 43,533,153,316/102,892
  6. Step 6: Final answer
    x = 423,095.61

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.