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Finding the Third Proportional to 117,706.50 and 177,666.75

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Solution

The third proportional to 117,706.50 and 177,666.75 is: 268,171.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,706.50 : 177,666.75 = 177,666.75 : x
  2. Step 2: Convert to fraction form
    117,706.50/177,666.75 = 177,666.75/x
  3. Step 3: Cross multiply
    117,706.50x = 177,666.75 × 177,666.75
  4. Step 4: Simplify right side
    117,706.50x = 31,565,474,055.56
  5. Step 5: Solve for x
    x = 31,565,474,055.56/117,706.50
  6. Step 6: Final answer
    x = 268,171.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.