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Finding the Third Proportional to 53,022 and 74,923

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Solution

The third proportional to 53,022 and 74,923 is: 105,870.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,022 : 74,923 = 74,923 : x
  2. Step 2: Convert to fraction form
    53,022/74,923 = 74,923/x
  3. Step 3: Cross multiply
    53,022x = 74,923 × 74,923
  4. Step 4: Simplify right side
    53,022x = 5,613,455,929
  5. Step 5: Solve for x
    x = 5,613,455,929/53,022
  6. Step 6: Final answer
    x = 105,870.32

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.