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Finding the Third Proportional to 59,541 and 127,268

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Solution

The third proportional to 59,541 and 127,268 is: 272,033.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,541 : 127,268 = 127,268 : x
  2. Step 2: Convert to fraction form
    59,541/127,268 = 127,268/x
  3. Step 3: Cross multiply
    59,541x = 127,268 × 127,268
  4. Step 4: Simplify right side
    59,541x = 16,197,143,824
  5. Step 5: Solve for x
    x = 16,197,143,824/59,541
  6. Step 6: Final answer
    x = 272,033.45

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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.