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Finding the Third Proportional to 69,723 and 105,240

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Solution

The third proportional to 69,723 and 105,240 is: 158,849.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,723 : 105,240 = 105,240 : x
  2. Step 2: Convert to fraction form
    69,723/105,240 = 105,240/x
  3. Step 3: Cross multiply
    69,723x = 105,240 × 105,240
  4. Step 4: Simplify right side
    69,723x = 11,075,457,600
  5. Step 5: Solve for x
    x = 11,075,457,600/69,723
  6. Step 6: Final answer
    x = 158,849.41

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