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Finding the Third Proportional to 51,943 and 113,774

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Solution

The third proportional to 51,943 and 113,774 is: 249,206.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,943 : 113,774 = 113,774 : x
  2. Step 2: Convert to fraction form
    51,943/113,774 = 113,774/x
  3. Step 3: Cross multiply
    51,943x = 113,774 × 113,774
  4. Step 4: Simplify right side
    51,943x = 12,944,523,076
  5. Step 5: Solve for x
    x = 12,944,523,076/51,943
  6. Step 6: Final answer
    x = 249,206.30

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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.