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Finding the Third Proportional to 60,021 and 138,950.44

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Solution

The third proportional to 60,021 and 138,950.44 is: 321,674.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,021 : 138,950.44 = 138,950.44 : x
  2. Step 2: Convert to fraction form
    60,021/138,950.44 = 138,950.44/x
  3. Step 3: Cross multiply
    60,021x = 138,950.44 × 138,950.44
  4. Step 4: Simplify right side
    60,021x = 19,307,224,081.44
  5. Step 5: Solve for x
    x = 19,307,224,081.44/60,021
  6. Step 6: Final answer
    x = 321,674.48

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.