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Finding the Third Proportional to 64,425 and 100,191

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Solution

The third proportional to 64,425 and 100,191 is: 155,812.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,425 : 100,191 = 100,191 : x
  2. Step 2: Convert to fraction form
    64,425/100,191 = 100,191/x
  3. Step 3: Cross multiply
    64,425x = 100,191 × 100,191
  4. Step 4: Simplify right side
    64,425x = 10,038,236,481
  5. Step 5: Solve for x
    x = 10,038,236,481/64,425
  6. Step 6: Final answer
    x = 155,812.75

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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.