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Finding the Third Proportional to 126,486 and 190,559.25

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Solution

The third proportional to 126,486 and 190,559.25 is: 287,089.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,486 : 190,559.25 = 190,559.25 : x
  2. Step 2: Convert to fraction form
    126,486/190,559.25 = 190,559.25/x
  3. Step 3: Cross multiply
    126,486x = 190,559.25 × 190,559.25
  4. Step 4: Simplify right side
    126,486x = 36,312,827,760.56
  5. Step 5: Solve for x
    x = 36,312,827,760.56/126,486
  6. Step 6: Final answer
    x = 287,089.70

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