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Finding the Third Proportional to 114,042.75 and 176,599.50

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Solution

The third proportional to 114,042.75 and 176,599.50 is: 273,470.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,042.75 : 176,599.50 = 176,599.50 : x
  2. Step 2: Convert to fraction form
    114,042.75/176,599.50 = 176,599.50/x
  3. Step 3: Cross multiply
    114,042.75x = 176,599.50 × 176,599.50
  4. Step 4: Simplify right side
    114,042.75x = 31,187,383,400.25
  5. Step 5: Solve for x
    x = 31,187,383,400.25/114,042.75
  6. Step 6: Final answer
    x = 273,470.99

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.