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Finding the Third Proportional to 69,240 and 103,752

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Solution

The third proportional to 69,240 and 103,752 is: 155,466.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,240 : 103,752 = 103,752 : x
  2. Step 2: Convert to fraction form
    69,240/103,752 = 103,752/x
  3. Step 3: Cross multiply
    69,240x = 103,752 × 103,752
  4. Step 4: Simplify right side
    69,240x = 10,764,477,504
  5. Step 5: Solve for x
    x = 10,764,477,504/69,240
  6. Step 6: Final answer
    x = 155,466.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.