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Finding the Third Proportional to 53,302 and 116,000

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Solution

The third proportional to 53,302 and 116,000 is: 252,448.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,302 : 116,000 = 116,000 : x
  2. Step 2: Convert to fraction form
    53,302/116,000 = 116,000/x
  3. Step 3: Cross multiply
    53,302x = 116,000 × 116,000
  4. Step 4: Simplify right side
    53,302x = 13,456,000,000
  5. Step 5: Solve for x
    x = 13,456,000,000/53,302
  6. Step 6: Final answer
    x = 252,448.31

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.