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Finding the Third Proportional to 59,474 and 128,232

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Solution

The third proportional to 59,474 and 128,232 is: 276,481.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,474 : 128,232 = 128,232 : x
  2. Step 2: Convert to fraction form
    59,474/128,232 = 128,232/x
  3. Step 3: Cross multiply
    59,474x = 128,232 × 128,232
  4. Step 4: Simplify right side
    59,474x = 16,443,445,824
  5. Step 5: Solve for x
    x = 16,443,445,824/59,474
  6. Step 6: Final answer
    x = 276,481.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.