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Finding the Third Proportional to 96,559 and 201,937

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Solution

The third proportional to 96,559 and 201,937 is: 422,317.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,559 : 201,937 = 201,937 : x
  2. Step 2: Convert to fraction form
    96,559/201,937 = 201,937/x
  3. Step 3: Cross multiply
    96,559x = 201,937 × 201,937
  4. Step 4: Simplify right side
    96,559x = 40,778,551,969
  5. Step 5: Solve for x
    x = 40,778,551,969/96,559
  6. Step 6: Final answer
    x = 422,317.46

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.