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Finding the Third Proportional to 117,022.50 and 181,554.75

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Solution

The third proportional to 117,022.50 and 181,554.75 is: 281,673.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,022.50 : 181,554.75 = 181,554.75 : x
  2. Step 2: Convert to fraction form
    117,022.50/181,554.75 = 181,554.75/x
  3. Step 3: Cross multiply
    117,022.50x = 181,554.75 × 181,554.75
  4. Step 4: Simplify right side
    117,022.50x = 32,962,127,247.56
  5. Step 5: Solve for x
    x = 32,962,127,247.56/117,022.50
  6. Step 6: Final answer
    x = 281,673.42

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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.