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Finding the Third Proportional to 32,526 and 69,903

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Solution

The third proportional to 32,526 and 69,903 is: 150,231.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,526 : 69,903 = 69,903 : x
  2. Step 2: Convert to fraction form
    32,526/69,903 = 69,903/x
  3. Step 3: Cross multiply
    32,526x = 69,903 × 69,903
  4. Step 4: Simplify right side
    32,526x = 4,886,429,409
  5. Step 5: Solve for x
    x = 4,886,429,409/32,526
  6. Step 6: Final answer
    x = 150,231.49

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.