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Finding the Third Proportional to 114,063.75 and 170,161.50

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Solution

The third proportional to 114,063.75 and 170,161.50 is: 253,848.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,063.75 : 170,161.50 = 170,161.50 : x
  2. Step 2: Convert to fraction form
    114,063.75/170,161.50 = 170,161.50/x
  3. Step 3: Cross multiply
    114,063.75x = 170,161.50 × 170,161.50
  4. Step 4: Simplify right side
    114,063.75x = 28,954,936,082.25
  5. Step 5: Solve for x
    x = 28,954,936,082.25/114,063.75
  6. Step 6: Final answer
    x = 253,848.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.