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Finding the Third Proportional to 54,887 and 114,080

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Solution

The third proportional to 54,887 and 114,080 is: 237,109.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,887 : 114,080 = 114,080 : x
  2. Step 2: Convert to fraction form
    54,887/114,080 = 114,080/x
  3. Step 3: Cross multiply
    54,887x = 114,080 × 114,080
  4. Step 4: Simplify right side
    54,887x = 13,014,246,400
  5. Step 5: Solve for x
    x = 13,014,246,400/54,887
  6. Step 6: Final answer
    x = 237,109.81

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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.