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Finding the Third Proportional to 51,948 and 112,752

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Solution

The third proportional to 51,948 and 112,752 is: 244,725.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,948 : 112,752 = 112,752 : x
  2. Step 2: Convert to fraction form
    51,948/112,752 = 112,752/x
  3. Step 3: Cross multiply
    51,948x = 112,752 × 112,752
  4. Step 4: Simplify right side
    51,948x = 12,713,013,504
  5. Step 5: Solve for x
    x = 12,713,013,504/51,948
  6. Step 6: Final answer
    x = 244,725.75

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.