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Finding the Third Proportional to 54,774 and 112,138

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Solution

The third proportional to 54,774 and 112,138 is: 229,578.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,774 : 112,138 = 112,138 : x
  2. Step 2: Convert to fraction form
    54,774/112,138 = 112,138/x
  3. Step 3: Cross multiply
    54,774x = 112,138 × 112,138
  4. Step 4: Simplify right side
    54,774x = 12,574,931,044
  5. Step 5: Solve for x
    x = 12,574,931,044/54,774
  6. Step 6: Final answer
    x = 229,578.47

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.