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Finding the Third Proportional to 133,037 and 210,621

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Solution

The third proportional to 133,037 and 210,621 is: 333,450.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,037 : 210,621 = 210,621 : x
  2. Step 2: Convert to fraction form
    133,037/210,621 = 210,621/x
  3. Step 3: Cross multiply
    133,037x = 210,621 × 210,621
  4. Step 4: Simplify right side
    133,037x = 44,361,205,641
  5. Step 5: Solve for x
    x = 44,361,205,641/133,037
  6. Step 6: Final answer
    x = 333,450.14

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.