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Finding the Third Proportional to 101,326 and 152,043

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Solution

The third proportional to 101,326 and 152,043 is: 228,145.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,326 : 152,043 = 152,043 : x
  2. Step 2: Convert to fraction form
    101,326/152,043 = 152,043/x
  3. Step 3: Cross multiply
    101,326x = 152,043 × 152,043
  4. Step 4: Simplify right side
    101,326x = 23,117,073,849
  5. Step 5: Solve for x
    x = 23,117,073,849/101,326
  6. Step 6: Final answer
    x = 228,145.53

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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.