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Finding the Third Proportional to 74,007 and 114,803

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Solution

The third proportional to 74,007 and 114,803 is: 178,087.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,007 : 114,803 = 114,803 : x
  2. Step 2: Convert to fraction form
    74,007/114,803 = 114,803/x
  3. Step 3: Cross multiply
    74,007x = 114,803 × 114,803
  4. Step 4: Simplify right side
    74,007x = 13,179,728,809
  5. Step 5: Solve for x
    x = 13,179,728,809/74,007
  6. Step 6: Final answer
    x = 178,087.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.