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Finding the Third Proportional to 51,815.50 and 113,348

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Solution

The third proportional to 51,815.50 and 113,348 is: 247,952.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,815.50 : 113,348 = 113,348 : x
  2. Step 2: Convert to fraction form
    51,815.50/113,348 = 113,348/x
  3. Step 3: Cross multiply
    51,815.50x = 113,348 × 113,348
  4. Step 4: Simplify right side
    51,815.50x = 12,847,769,104
  5. Step 5: Solve for x
    x = 12,847,769,104/51,815.50
  6. Step 6: Final answer
    x = 247,952.24

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.