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Finding the Third Proportional to 83,143.25 and 126,790.50

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Solution

The third proportional to 83,143.25 and 126,790.50 is: 193,351.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,143.25 : 126,790.50 = 126,790.50 : x
  2. Step 2: Convert to fraction form
    83,143.25/126,790.50 = 126,790.50/x
  3. Step 3: Cross multiply
    83,143.25x = 126,790.50 × 126,790.50
  4. Step 4: Simplify right side
    83,143.25x = 16,075,830,890.25
  5. Step 5: Solve for x
    x = 16,075,830,890.25/83,143.25
  6. Step 6: Final answer
    x = 193,351.00

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.