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Finding the Third Proportional to 56,397 and 133,608

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Solution

The third proportional to 56,397 and 133,608 is: 316,525.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,397 : 133,608 = 133,608 : x
  2. Step 2: Convert to fraction form
    56,397/133,608 = 133,608/x
  3. Step 3: Cross multiply
    56,397x = 133,608 × 133,608
  4. Step 4: Simplify right side
    56,397x = 17,851,097,664
  5. Step 5: Solve for x
    x = 17,851,097,664/56,397
  6. Step 6: Final answer
    x = 316,525.66

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.