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Finding the Third Proportional to 114,777 and 178,152.75

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Solution

The third proportional to 114,777 and 178,152.75 is: 276,522.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,777 : 178,152.75 = 178,152.75 : x
  2. Step 2: Convert to fraction form
    114,777/178,152.75 = 178,152.75/x
  3. Step 3: Cross multiply
    114,777x = 178,152.75 × 178,152.75
  4. Step 4: Simplify right side
    114,777x = 31,738,402,332.56
  5. Step 5: Solve for x
    x = 31,738,402,332.56/114,777
  6. Step 6: Final answer
    x = 276,522.32

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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.