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Finding the Third Proportional to 137,937 and 204,318

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Solution

The third proportional to 137,937 and 204,318 is: 302,644.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,937 : 204,318 = 204,318 : x
  2. Step 2: Convert to fraction form
    137,937/204,318 = 204,318/x
  3. Step 3: Cross multiply
    137,937x = 204,318 × 204,318
  4. Step 4: Simplify right side
    137,937x = 41,745,845,124
  5. Step 5: Solve for x
    x = 41,745,845,124/137,937
  6. Step 6: Final answer
    x = 302,644.29

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.