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Finding the Third Proportional to 79,678.69 and 116,646.75

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Solution

The third proportional to 79,678.69 and 116,646.75 is: 170,766.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,678.69 : 116,646.75 = 116,646.75 : x
  2. Step 2: Convert to fraction form
    79,678.69/116,646.75 = 116,646.75/x
  3. Step 3: Cross multiply
    79,678.69x = 116,646.75 × 116,646.75
  4. Step 4: Simplify right side
    79,678.69x = 13,606,464,285.56
  5. Step 5: Solve for x
    x = 13,606,464,285.56/79,678.69
  6. Step 6: Final answer
    x = 170,766.67

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.