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Finding the Third Proportional to 59,984 and 131,268

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Solution

The third proportional to 59,984 and 131,268 is: 287,264.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,984 : 131,268 = 131,268 : x
  2. Step 2: Convert to fraction form
    59,984/131,268 = 131,268/x
  3. Step 3: Cross multiply
    59,984x = 131,268 × 131,268
  4. Step 4: Simplify right side
    59,984x = 17,231,287,824
  5. Step 5: Solve for x
    x = 17,231,287,824/59,984
  6. Step 6: Final answer
    x = 287,264.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.