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Finding the Third Proportional to 117,573.75 and 176,085

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Solution

The third proportional to 117,573.75 and 176,085 is: 263,714.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,573.75 : 176,085 = 176,085 : x
  2. Step 2: Convert to fraction form
    117,573.75/176,085 = 176,085/x
  3. Step 3: Cross multiply
    117,573.75x = 176,085 × 176,085
  4. Step 4: Simplify right side
    117,573.75x = 31,005,927,225
  5. Step 5: Solve for x
    x = 31,005,927,225/117,573.75
  6. Step 6: Final answer
    x = 263,714.71

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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.