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Finding the Third Proportional to 54,889 and 114,084

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Solution

The third proportional to 54,889 and 114,084 is: 237,117.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,889 : 114,084 = 114,084 : x
  2. Step 2: Convert to fraction form
    54,889/114,084 = 114,084/x
  3. Step 3: Cross multiply
    54,889x = 114,084 × 114,084
  4. Step 4: Simplify right side
    54,889x = 13,015,159,056
  5. Step 5: Solve for x
    x = 13,015,159,056/54,889
  6. Step 6: Final answer
    x = 237,117.80

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.