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Finding the Third Proportional to 69,958.69 and 78,706.69

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Solution

The third proportional to 69,958.69 and 78,706.69 is: 88,548.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,958.69 : 78,706.69 = 78,706.69 : x
  2. Step 2: Convert to fraction form
    69,958.69/78,706.69 = 78,706.69/x
  3. Step 3: Cross multiply
    69,958.69x = 78,706.69 × 78,706.69
  4. Step 4: Simplify right side
    69,958.69x = 6,194,742,657.22
  5. Step 5: Solve for x
    x = 6,194,742,657.22/69,958.69
  6. Step 6: Final answer
    x = 88,548.58

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These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.