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Finding the Third Proportional to 48,290 and 101,824

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Solution

The third proportional to 48,290 and 101,824 is: 214,705.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,290 : 101,824 = 101,824 : x
  2. Step 2: Convert to fraction form
    48,290/101,824 = 101,824/x
  3. Step 3: Cross multiply
    48,290x = 101,824 × 101,824
  4. Step 4: Simplify right side
    48,290x = 10,368,126,976
  5. Step 5: Solve for x
    x = 10,368,126,976/48,290
  6. Step 6: Final answer
    x = 214,705.47

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.