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Finding the Third Proportional to 53,210 and 110,926.75

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Solution

The third proportional to 53,210 and 110,926.75 is: 231,248.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,210 : 110,926.75 = 110,926.75 : x
  2. Step 2: Convert to fraction form
    53,210/110,926.75 = 110,926.75/x
  3. Step 3: Cross multiply
    53,210x = 110,926.75 × 110,926.75
  4. Step 4: Simplify right side
    53,210x = 12,304,743,865.56
  5. Step 5: Solve for x
    x = 12,304,743,865.56/53,210
  6. Step 6: Final answer
    x = 231,248.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.