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Finding the Third Proportional to 51,813.50 and 113,492

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Solution

The third proportional to 51,813.50 and 113,492 is: 248,592.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,813.50 : 113,492 = 113,492 : x
  2. Step 2: Convert to fraction form
    51,813.50/113,492 = 113,492/x
  3. Step 3: Cross multiply
    51,813.50x = 113,492 × 113,492
  4. Step 4: Simplify right side
    51,813.50x = 12,880,434,064
  5. Step 5: Solve for x
    x = 12,880,434,064/51,813.50
  6. Step 6: Final answer
    x = 248,592.24

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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.