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Finding the Third Proportional to 126,515.25 and 190,606.50

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Solution

The third proportional to 126,515.25 and 190,606.50 is: 287,165.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,515.25 : 190,606.50 = 190,606.50 : x
  2. Step 2: Convert to fraction form
    126,515.25/190,606.50 = 190,606.50/x
  3. Step 3: Cross multiply
    126,515.25x = 190,606.50 × 190,606.50
  4. Step 4: Simplify right side
    126,515.25x = 36,330,837,842.25
  5. Step 5: Solve for x
    x = 36,330,837,842.25/126,515.25
  6. Step 6: Final answer
    x = 287,165.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.