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Finding the Third Proportional to 46,254 and 98,268

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Solution

The third proportional to 46,254 and 98,268 is: 208,773.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,254 : 98,268 = 98,268 : x
  2. Step 2: Convert to fraction form
    46,254/98,268 = 98,268/x
  3. Step 3: Cross multiply
    46,254x = 98,268 × 98,268
  4. Step 4: Simplify right side
    46,254x = 9,656,599,824
  5. Step 5: Solve for x
    x = 9,656,599,824/46,254
  6. Step 6: Final answer
    x = 208,773.29

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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.