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Finding the Third Proportional to 52,686 and 124,367.63

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Solution

The third proportional to 52,686 and 124,367.63 is: 293,575.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,686 : 124,367.63 = 124,367.63 : x
  2. Step 2: Convert to fraction form
    52,686/124,367.63 = 124,367.63/x
  3. Step 3: Cross multiply
    52,686x = 124,367.63 × 124,367.63
  4. Step 4: Simplify right side
    52,686x = 15,467,306,148.14
  5. Step 5: Solve for x
    x = 15,467,306,148.14/52,686
  6. Step 6: Final answer
    x = 293,575.26

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.