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Finding the Third Proportional to 51,816 and 110,984

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Solution

The third proportional to 51,816 and 110,984 is: 237,715.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,816 : 110,984 = 110,984 : x
  2. Step 2: Convert to fraction form
    51,816/110,984 = 110,984/x
  3. Step 3: Cross multiply
    51,816x = 110,984 × 110,984
  4. Step 4: Simplify right side
    51,816x = 12,317,448,256
  5. Step 5: Solve for x
    x = 12,317,448,256/51,816
  6. Step 6: Final answer
    x = 237,715.15

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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.