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Finding the Third Proportional to 116,131 and 175,800

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Solution

The third proportional to 116,131 and 175,800 is: 266,127.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,131 : 175,800 = 175,800 : x
  2. Step 2: Convert to fraction form
    116,131/175,800 = 175,800/x
  3. Step 3: Cross multiply
    116,131x = 175,800 × 175,800
  4. Step 4: Simplify right side
    116,131x = 30,905,640,000
  5. Step 5: Solve for x
    x = 30,905,640,000/116,131
  6. Step 6: Final answer
    x = 266,127.39

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.