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Finding the Third Proportional to 56,194 and 127,978

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Solution

The third proportional to 56,194 and 127,978 is: 291,461.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,194 : 127,978 = 127,978 : x
  2. Step 2: Convert to fraction form
    56,194/127,978 = 127,978/x
  3. Step 3: Cross multiply
    56,194x = 127,978 × 127,978
  4. Step 4: Simplify right side
    56,194x = 16,378,368,484
  5. Step 5: Solve for x
    x = 16,378,368,484/56,194
  6. Step 6: Final answer
    x = 291,461.16

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.