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Finding the Third Proportional to 53,614.41 and 114,604.88

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Solution

The third proportional to 53,614.41 and 114,604.88 is: 244,976.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,614.41 : 114,604.88 = 114,604.88 : x
  2. Step 2: Convert to fraction form
    53,614.41/114,604.88 = 114,604.88/x
  3. Step 3: Cross multiply
    53,614.41x = 114,604.88 × 114,604.88
  4. Step 4: Simplify right side
    53,614.41x = 13,134,277,373.77
  5. Step 5: Solve for x
    x = 13,134,277,373.77/53,614.41
  6. Step 6: Final answer
    x = 244,976.65

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.