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Finding the Third Proportional to 51,822 and 110,754

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Solution

The third proportional to 51,822 and 110,754 is: 236,703.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,822 : 110,754 = 110,754 : x
  2. Step 2: Convert to fraction form
    51,822/110,754 = 110,754/x
  3. Step 3: Cross multiply
    51,822x = 110,754 × 110,754
  4. Step 4: Simplify right side
    51,822x = 12,266,448,516
  5. Step 5: Solve for x
    x = 12,266,448,516/51,822
  6. Step 6: Final answer
    x = 236,703.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.