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Finding the Third Proportional to 21,194 and 45,127

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Solution

The third proportional to 21,194 and 45,127 is: 96,085.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,194 : 45,127 = 45,127 : x
  2. Step 2: Convert to fraction form
    21,194/45,127 = 45,127/x
  3. Step 3: Cross multiply
    21,194x = 45,127 × 45,127
  4. Step 4: Simplify right side
    21,194x = 2,036,446,129
  5. Step 5: Solve for x
    x = 2,036,446,129/21,194
  6. Step 6: Final answer
    x = 96,085.97

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.