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Finding the Third Proportional to 114,108.75 and 177,384.94

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Solution

The third proportional to 114,108.75 and 177,384.94 is: 275,749.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,108.75 : 177,384.94 = 177,384.94 : x
  2. Step 2: Convert to fraction form
    114,108.75/177,384.94 = 177,384.94/x
  3. Step 3: Cross multiply
    114,108.75x = 177,384.94 × 177,384.94
  4. Step 4: Simplify right side
    114,108.75x = 31,465,416,051.88
  5. Step 5: Solve for x
    x = 31,465,416,051.88/114,108.75
  6. Step 6: Final answer
    x = 275,749.37

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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.