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Finding the Third Proportional to 49,655 and 101,497

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Solution

The third proportional to 49,655 and 101,497 is: 207,464.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,655 : 101,497 = 101,497 : x
  2. Step 2: Convert to fraction form
    49,655/101,497 = 101,497/x
  3. Step 3: Cross multiply
    49,655x = 101,497 × 101,497
  4. Step 4: Simplify right side
    49,655x = 10,301,641,009
  5. Step 5: Solve for x
    x = 10,301,641,009/49,655
  6. Step 6: Final answer
    x = 207,464.32

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.