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Finding the Third Proportional to 51,955.50 and 113,271

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Solution

The third proportional to 51,955.50 and 113,271 is: 246,948.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,955.50 : 113,271 = 113,271 : x
  2. Step 2: Convert to fraction form
    51,955.50/113,271 = 113,271/x
  3. Step 3: Cross multiply
    51,955.50x = 113,271 × 113,271
  4. Step 4: Simplify right side
    51,955.50x = 12,830,319,441
  5. Step 5: Solve for x
    x = 12,830,319,441/51,955.50
  6. Step 6: Final answer
    x = 246,948.24

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.