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Finding the Third Proportional to 53,475 and 74,766

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Solution

The third proportional to 53,475 and 74,766 is: 104,533.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,475 : 74,766 = 74,766 : x
  2. Step 2: Convert to fraction form
    53,475/74,766 = 74,766/x
  3. Step 3: Cross multiply
    53,475x = 74,766 × 74,766
  4. Step 4: Simplify right side
    53,475x = 5,589,954,756
  5. Step 5: Solve for x
    x = 5,589,954,756/53,475
  6. Step 6: Final answer
    x = 104,533.98

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.