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Finding the Third Proportional to 113,653.13 and 176,478.75

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Solution

The third proportional to 113,653.13 and 176,478.75 is: 274,033.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,653.13 : 176,478.75 = 176,478.75 : x
  2. Step 2: Convert to fraction form
    113,653.13/176,478.75 = 176,478.75/x
  3. Step 3: Cross multiply
    113,653.13x = 176,478.75 × 176,478.75
  4. Step 4: Simplify right side
    113,653.13x = 31,144,749,201.56
  5. Step 5: Solve for x
    x = 31,144,749,201.56/113,653.13
  6. Step 6: Final answer
    x = 274,033.37

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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.