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Finding the Third Proportional to 127,609.50 and 190,170

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Solution

The third proportional to 127,609.50 and 190,170 is: 283,400.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,609.50 : 190,170 = 190,170 : x
  2. Step 2: Convert to fraction form
    127,609.50/190,170 = 190,170/x
  3. Step 3: Cross multiply
    127,609.50x = 190,170 × 190,170
  4. Step 4: Simplify right side
    127,609.50x = 36,164,628,900
  5. Step 5: Solve for x
    x = 36,164,628,900/127,609.50
  6. Step 6: Final answer
    x = 283,400.76

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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.