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Finding the Third Proportional to 97,296 and 207,144

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Solution

The third proportional to 97,296 and 207,144 is: 441,011.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,296 : 207,144 = 207,144 : x
  2. Step 2: Convert to fraction form
    97,296/207,144 = 207,144/x
  3. Step 3: Cross multiply
    97,296x = 207,144 × 207,144
  4. Step 4: Simplify right side
    97,296x = 42,908,636,736
  5. Step 5: Solve for x
    x = 42,908,636,736/97,296
  6. Step 6: Final answer
    x = 441,011.31

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.