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Finding the Third Proportional to 114,051.75 and 178,910.25

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Solution

The third proportional to 114,051.75 and 178,910.25 is: 280,652.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,051.75 : 178,910.25 = 178,910.25 : x
  2. Step 2: Convert to fraction form
    114,051.75/178,910.25 = 178,910.25/x
  3. Step 3: Cross multiply
    114,051.75x = 178,910.25 × 178,910.25
  4. Step 4: Simplify right side
    114,051.75x = 32,008,877,555.06
  5. Step 5: Solve for x
    x = 32,008,877,555.06/114,051.75
  6. Step 6: Final answer
    x = 280,652.23

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.