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Finding the Third Proportional to 48,818 and 101,497

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Solution

The third proportional to 48,818 and 101,497 is: 211,021.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,818 : 101,497 = 101,497 : x
  2. Step 2: Convert to fraction form
    48,818/101,497 = 101,497/x
  3. Step 3: Cross multiply
    48,818x = 101,497 × 101,497
  4. Step 4: Simplify right side
    48,818x = 10,301,641,009
  5. Step 5: Solve for x
    x = 10,301,641,009/48,818
  6. Step 6: Final answer
    x = 211,021.37

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.