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Finding the Third Proportional to 54,726 and 117,228

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Solution

The third proportional to 54,726 and 117,228 is: 251,112.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,726 : 117,228 = 117,228 : x
  2. Step 2: Convert to fraction form
    54,726/117,228 = 117,228/x
  3. Step 3: Cross multiply
    54,726x = 117,228 × 117,228
  4. Step 4: Simplify right side
    54,726x = 13,742,403,984
  5. Step 5: Solve for x
    x = 13,742,403,984/54,726
  6. Step 6: Final answer
    x = 251,112.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.