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Finding the Third Proportional to 51,780 and 113,037

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Solution

The third proportional to 51,780 and 113,037 is: 246,762.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,780 : 113,037 = 113,037 : x
  2. Step 2: Convert to fraction form
    51,780/113,037 = 113,037/x
  3. Step 3: Cross multiply
    51,780x = 113,037 × 113,037
  4. Step 4: Simplify right side
    51,780x = 12,777,363,369
  5. Step 5: Solve for x
    x = 12,777,363,369/51,780
  6. Step 6: Final answer
    x = 246,762.52

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Why These Related Problems?

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