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Finding the Third Proportional to 81,100 and 187,954

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Solution

The third proportional to 81,100 and 187,954 is: 435,594.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,100 : 187,954 = 187,954 : x
  2. Step 2: Convert to fraction form
    81,100/187,954 = 187,954/x
  3. Step 3: Cross multiply
    81,100x = 187,954 × 187,954
  4. Step 4: Simplify right side
    81,100x = 35,326,706,116
  5. Step 5: Solve for x
    x = 35,326,706,116/81,100
  6. Step 6: Final answer
    x = 435,594.40

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.