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Finding the Third Proportional to 43,100 and 91,417

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Solution

The third proportional to 43,100 and 91,417 is: 193,899.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,100 : 91,417 = 91,417 : x
  2. Step 2: Convert to fraction form
    43,100/91,417 = 91,417/x
  3. Step 3: Cross multiply
    43,100x = 91,417 × 91,417
  4. Step 4: Simplify right side
    43,100x = 8,357,067,889
  5. Step 5: Solve for x
    x = 8,357,067,889/43,100
  6. Step 6: Final answer
    x = 193,899.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.