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Finding the Third Proportional to 80,937 and 189,046

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Solution

The third proportional to 80,937 and 189,046 is: 441,558.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,937 : 189,046 = 189,046 : x
  2. Step 2: Convert to fraction form
    80,937/189,046 = 189,046/x
  3. Step 3: Cross multiply
    80,937x = 189,046 × 189,046
  4. Step 4: Simplify right side
    80,937x = 35,738,390,116
  5. Step 5: Solve for x
    x = 35,738,390,116/80,937
  6. Step 6: Final answer
    x = 441,558.13

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.