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Finding the Third Proportional to 94,194 and 142,251

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Solution

The third proportional to 94,194 and 142,251 is: 214,826.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,194 : 142,251 = 142,251 : x
  2. Step 2: Convert to fraction form
    94,194/142,251 = 142,251/x
  3. Step 3: Cross multiply
    94,194x = 142,251 × 142,251
  4. Step 4: Simplify right side
    94,194x = 20,235,347,001
  5. Step 5: Solve for x
    x = 20,235,347,001/94,194
  6. Step 6: Final answer
    x = 214,826.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.