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Finding the Third Proportional to 127,609 and 190,168

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Solution

The third proportional to 127,609 and 190,168 is: 283,395.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,609 : 190,168 = 190,168 : x
  2. Step 2: Convert to fraction form
    127,609/190,168 = 190,168/x
  3. Step 3: Cross multiply
    127,609x = 190,168 × 190,168
  4. Step 4: Simplify right side
    127,609x = 36,163,868,224
  5. Step 5: Solve for x
    x = 36,163,868,224/127,609
  6. Step 6: Final answer
    x = 283,395.91

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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.