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Finding the Third Proportional to 56,824 and 119,540

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Solution

The third proportional to 56,824 and 119,540 is: 251,474.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,824 : 119,540 = 119,540 : x
  2. Step 2: Convert to fraction form
    56,824/119,540 = 119,540/x
  3. Step 3: Cross multiply
    56,824x = 119,540 × 119,540
  4. Step 4: Simplify right side
    56,824x = 14,289,811,600
  5. Step 5: Solve for x
    x = 14,289,811,600/56,824
  6. Step 6: Final answer
    x = 251,474.93

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.