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Finding the Third Proportional to 47,937 and 104,526

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Solution

The third proportional to 47,937 and 104,526 is: 227,917.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,937 : 104,526 = 104,526 : x
  2. Step 2: Convert to fraction form
    47,937/104,526 = 104,526/x
  3. Step 3: Cross multiply
    47,937x = 104,526 × 104,526
  4. Step 4: Simplify right side
    47,937x = 10,925,684,676
  5. Step 5: Solve for x
    x = 10,925,684,676/47,937
  6. Step 6: Final answer
    x = 227,917.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.