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Finding the Third Proportional to 118,872 and 176,343.75

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Solution

The third proportional to 118,872 and 176,343.75 is: 261,601.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,872 : 176,343.75 = 176,343.75 : x
  2. Step 2: Convert to fraction form
    118,872/176,343.75 = 176,343.75/x
  3. Step 3: Cross multiply
    118,872x = 176,343.75 × 176,343.75
  4. Step 4: Simplify right side
    118,872x = 31,097,118,164.06
  5. Step 5: Solve for x
    x = 31,097,118,164.06/118,872
  6. Step 6: Final answer
    x = 261,601.71

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.