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Finding the Third Proportional to 81,194 and 127,548

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Solution

The third proportional to 81,194 and 127,548 is: 200,365.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,194 : 127,548 = 127,548 : x
  2. Step 2: Convert to fraction form
    81,194/127,548 = 127,548/x
  3. Step 3: Cross multiply
    81,194x = 127,548 × 127,548
  4. Step 4: Simplify right side
    81,194x = 16,268,492,304
  5. Step 5: Solve for x
    x = 16,268,492,304/81,194
  6. Step 6: Final answer
    x = 200,365.70

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.