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Finding the Third Proportional to 117,729.75 and 176,328.75

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Solution

The third proportional to 117,729.75 and 176,328.75 is: 264,094.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,729.75 : 176,328.75 = 176,328.75 : x
  2. Step 2: Convert to fraction form
    117,729.75/176,328.75 = 176,328.75/x
  3. Step 3: Cross multiply
    117,729.75x = 176,328.75 × 176,328.75
  4. Step 4: Simplify right side
    117,729.75x = 31,091,828,076.56
  5. Step 5: Solve for x
    x = 31,091,828,076.56/117,729.75
  6. Step 6: Final answer
    x = 264,094.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.