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Finding the Third Proportional to 126,595 and 190,302

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Solution

The third proportional to 126,595 and 190,302 is: 286,068.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,595 : 190,302 = 190,302 : x
  2. Step 2: Convert to fraction form
    126,595/190,302 = 190,302/x
  3. Step 3: Cross multiply
    126,595x = 190,302 × 190,302
  4. Step 4: Simplify right side
    126,595x = 36,214,851,204
  5. Step 5: Solve for x
    x = 36,214,851,204/126,595
  6. Step 6: Final answer
    x = 286,068.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.