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Finding the Third Proportional to 116,761.50 and 178,572

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Solution

The third proportional to 116,761.50 and 178,572 is: 273,103.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,761.50 : 178,572 = 178,572 : x
  2. Step 2: Convert to fraction form
    116,761.50/178,572 = 178,572/x
  3. Step 3: Cross multiply
    116,761.50x = 178,572 × 178,572
  4. Step 4: Simplify right side
    116,761.50x = 31,887,959,184
  5. Step 5: Solve for x
    x = 31,887,959,184/116,761.50
  6. Step 6: Final answer
    x = 273,103.37

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.