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Finding the Third Proportional to 127,194 and 186,891

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Solution

The third proportional to 127,194 and 186,891 is: 274,606.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,194 : 186,891 = 186,891 : x
  2. Step 2: Convert to fraction form
    127,194/186,891 = 186,891/x
  3. Step 3: Cross multiply
    127,194x = 186,891 × 186,891
  4. Step 4: Simplify right side
    127,194x = 34,928,245,881
  5. Step 5: Solve for x
    x = 34,928,245,881/127,194
  6. Step 6: Final answer
    x = 274,606.08

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.