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Finding the Third Proportional to 64,427 and 100,194

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Solution

The third proportional to 64,427 and 100,194 is: 155,817.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,427 : 100,194 = 100,194 : x
  2. Step 2: Convert to fraction form
    64,427/100,194 = 100,194/x
  3. Step 3: Cross multiply
    64,427x = 100,194 × 100,194
  4. Step 4: Simplify right side
    64,427x = 10,038,837,636
  5. Step 5: Solve for x
    x = 10,038,837,636/64,427
  6. Step 6: Final answer
    x = 155,817.24

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.