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Finding the Third Proportional to 102,965 and 210,947

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Solution

The third proportional to 102,965 and 210,947 is: 432,172.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,965 : 210,947 = 210,947 : x
  2. Step 2: Convert to fraction form
    102,965/210,947 = 210,947/x
  3. Step 3: Cross multiply
    102,965x = 210,947 × 210,947
  4. Step 4: Simplify right side
    102,965x = 44,498,636,809
  5. Step 5: Solve for x
    x = 44,498,636,809/102,965
  6. Step 6: Final answer
    x = 432,172.45

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.