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Finding the Third Proportional to 102,896 and 208,656

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Solution

The third proportional to 102,896 and 208,656 is: 423,119.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,896 : 208,656 = 208,656 : x
  2. Step 2: Convert to fraction form
    102,896/208,656 = 208,656/x
  3. Step 3: Cross multiply
    102,896x = 208,656 × 208,656
  4. Step 4: Simplify right side
    102,896x = 43,537,326,336
  5. Step 5: Solve for x
    x = 43,537,326,336/102,896
  6. Step 6: Final answer
    x = 423,119.72

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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.