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Finding the Third Proportional to 51,854 and 113,752

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Solution

The third proportional to 51,854 and 113,752 is: 249,537.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,854 : 113,752 = 113,752 : x
  2. Step 2: Convert to fraction form
    51,854/113,752 = 113,752/x
  3. Step 3: Cross multiply
    51,854x = 113,752 × 113,752
  4. Step 4: Simplify right side
    51,854x = 12,939,517,504
  5. Step 5: Solve for x
    x = 12,939,517,504/51,854
  6. Step 6: Final answer
    x = 249,537.50

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Why These Related Problems?

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