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Finding the Third Proportional to 45,099 and 102,004

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Solution

The third proportional to 45,099 and 102,004 is: 230,710.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,099 : 102,004 = 102,004 : x
  2. Step 2: Convert to fraction form
    45,099/102,004 = 102,004/x
  3. Step 3: Cross multiply
    45,099x = 102,004 × 102,004
  4. Step 4: Simplify right side
    45,099x = 10,404,816,016
  5. Step 5: Solve for x
    x = 10,404,816,016/45,099
  6. Step 6: Final answer
    x = 230,710.57

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.