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Finding the Third Proportional to 50,534 and 110,033

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Solution

The third proportional to 50,534 and 110,033 is: 239,586.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,534 : 110,033 = 110,033 : x
  2. Step 2: Convert to fraction form
    50,534/110,033 = 110,033/x
  3. Step 3: Cross multiply
    50,534x = 110,033 × 110,033
  4. Step 4: Simplify right side
    50,534x = 12,107,261,089
  5. Step 5: Solve for x
    x = 12,107,261,089/50,534
  6. Step 6: Final answer
    x = 239,586.44

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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.