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Finding the Third Proportional to 56,128 and 131,144

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Solution

The third proportional to 56,128 and 131,144 is: 306,420.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,128 : 131,144 = 131,144 : x
  2. Step 2: Convert to fraction form
    56,128/131,144 = 131,144/x
  3. Step 3: Cross multiply
    56,128x = 131,144 × 131,144
  4. Step 4: Simplify right side
    56,128x = 17,198,748,736
  5. Step 5: Solve for x
    x = 17,198,748,736/56,128
  6. Step 6: Final answer
    x = 306,420.12

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.