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Finding the Third Proportional to 69,315.75 and 104,466.38

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Solution

The third proportional to 69,315.75 and 104,466.38 is: 157,442.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,315.75 : 104,466.38 = 104,466.38 : x
  2. Step 2: Convert to fraction form
    69,315.75/104,466.38 = 104,466.38/x
  3. Step 3: Cross multiply
    69,315.75x = 104,466.38 × 104,466.38
  4. Step 4: Simplify right side
    69,315.75x = 10,913,223,505.64
  5. Step 5: Solve for x
    x = 10,913,223,505.64/69,315.75
  6. Step 6: Final answer
    x = 157,442.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.