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Finding the Third Proportional to 53,028 and 74,932

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Solution

The third proportional to 53,028 and 74,932 is: 105,883.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,028 : 74,932 = 74,932 : x
  2. Step 2: Convert to fraction form
    53,028/74,932 = 74,932/x
  3. Step 3: Cross multiply
    53,028x = 74,932 × 74,932
  4. Step 4: Simplify right side
    53,028x = 5,614,804,624
  5. Step 5: Solve for x
    x = 5,614,804,624/53,028
  6. Step 6: Final answer
    x = 105,883.77

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.