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Finding the Third Proportional to 86,004 and 126,477

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Solution

The third proportional to 86,004 and 126,477 is: 185,996.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,004 : 126,477 = 126,477 : x
  2. Step 2: Convert to fraction form
    86,004/126,477 = 126,477/x
  3. Step 3: Cross multiply
    86,004x = 126,477 × 126,477
  4. Step 4: Simplify right side
    86,004x = 15,996,431,529
  5. Step 5: Solve for x
    x = 15,996,431,529/86,004
  6. Step 6: Final answer
    x = 185,996.37

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.