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Finding the Third Proportional to 127,549 and 199,077

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Solution

The third proportional to 127,549 and 199,077 is: 310,717.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,549 : 199,077 = 199,077 : x
  2. Step 2: Convert to fraction form
    127,549/199,077 = 199,077/x
  3. Step 3: Cross multiply
    127,549x = 199,077 × 199,077
  4. Step 4: Simplify right side
    127,549x = 39,631,651,929
  5. Step 5: Solve for x
    x = 39,631,651,929/127,549
  6. Step 6: Final answer
    x = 310,717.07

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.