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Finding the Third Proportional to 117,672.75 and 176,772.38

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Solution

The third proportional to 117,672.75 and 176,772.38 is: 265,554.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,672.75 : 176,772.38 = 176,772.38 : x
  2. Step 2: Convert to fraction form
    117,672.75/176,772.38 = 176,772.38/x
  3. Step 3: Cross multiply
    117,672.75x = 176,772.38 × 176,772.38
  4. Step 4: Simplify right side
    117,672.75x = 31,248,472,563.14
  5. Step 5: Solve for x
    x = 31,248,472,563.14/117,672.75
  6. Step 6: Final answer
    x = 265,554.03

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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.