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Finding the Third Proportional to 91,824 and 197,652

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Solution

The third proportional to 91,824 and 197,652 is: 425,447.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,824 : 197,652 = 197,652 : x
  2. Step 2: Convert to fraction form
    91,824/197,652 = 197,652/x
  3. Step 3: Cross multiply
    91,824x = 197,652 × 197,652
  4. Step 4: Simplify right side
    91,824x = 39,066,313,104
  5. Step 5: Solve for x
    x = 39,066,313,104/91,824
  6. Step 6: Final answer
    x = 425,447.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.