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Finding the Third Proportional to 52,653.38 and 124,297.88

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Solution

The third proportional to 52,653.38 and 124,297.88 is: 293,427.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,653.38 : 124,297.88 = 124,297.88 : x
  2. Step 2: Convert to fraction form
    52,653.38/124,297.88 = 124,297.88/x
  3. Step 3: Cross multiply
    52,653.38x = 124,297.88 × 124,297.88
  4. Step 4: Simplify right side
    52,653.38x = 15,449,961,729.52
  5. Step 5: Solve for x
    x = 15,449,961,729.52/52,653.38
  6. Step 6: Final answer
    x = 293,427.76

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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.