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Finding the Third Proportional to 56,937 and 81,107.75

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Solution

The third proportional to 56,937 and 81,107.75 is: 115,539.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,937 : 81,107.75 = 81,107.75 : x
  2. Step 2: Convert to fraction form
    56,937/81,107.75 = 81,107.75/x
  3. Step 3: Cross multiply
    56,937x = 81,107.75 × 81,107.75
  4. Step 4: Simplify right side
    56,937x = 6,578,467,110.06
  5. Step 5: Solve for x
    x = 6,578,467,110.06/56,937
  6. Step 6: Final answer
    x = 115,539.41

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.