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Finding the Third Proportional to 55,268 and 117,102

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Solution

The third proportional to 55,268 and 117,102 is: 248,116.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,268 : 117,102 = 117,102 : x
  2. Step 2: Convert to fraction form
    55,268/117,102 = 117,102/x
  3. Step 3: Cross multiply
    55,268x = 117,102 × 117,102
  4. Step 4: Simplify right side
    55,268x = 13,712,878,404
  5. Step 5: Solve for x
    x = 13,712,878,404/55,268
  6. Step 6: Final answer
    x = 248,116.06

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.