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Finding the Third Proportional to 127,616 and 190,177

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Solution

The third proportional to 127,616 and 190,177 is: 283,407.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,616 : 190,177 = 190,177 : x
  2. Step 2: Convert to fraction form
    127,616/190,177 = 190,177/x
  3. Step 3: Cross multiply
    127,616x = 190,177 × 190,177
  4. Step 4: Simplify right side
    127,616x = 36,167,291,329
  5. Step 5: Solve for x
    x = 36,167,291,329/127,616
  6. Step 6: Final answer
    x = 283,407.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.