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Finding the Third Proportional to 78,063.75 and 167,195.81

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Solution

The third proportional to 78,063.75 and 167,195.81 is: 358,097.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,063.75 : 167,195.81 = 167,195.81 : x
  2. Step 2: Convert to fraction form
    78,063.75/167,195.81 = 167,195.81/x
  3. Step 3: Cross multiply
    78,063.75x = 167,195.81 × 167,195.81
  4. Step 4: Simplify right side
    78,063.75x = 27,954,439,717.54
  5. Step 5: Solve for x
    x = 27,954,439,717.54/78,063.75
  6. Step 6: Final answer
    x = 358,097.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.