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Finding the Third Proportional to 58,824 and 126,072

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Solution

The third proportional to 58,824 and 126,072 is: 270,198.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,824 : 126,072 = 126,072 : x
  2. Step 2: Convert to fraction form
    58,824/126,072 = 126,072/x
  3. Step 3: Cross multiply
    58,824x = 126,072 × 126,072
  4. Step 4: Simplify right side
    58,824x = 15,894,149,184
  5. Step 5: Solve for x
    x = 15,894,149,184/58,824
  6. Step 6: Final answer
    x = 270,198.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.