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Finding the Third Proportional to 53,940.50 and 114,685

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Solution

The third proportional to 53,940.50 and 114,685 is: 243,836.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,940.50 : 114,685 = 114,685 : x
  2. Step 2: Convert to fraction form
    53,940.50/114,685 = 114,685/x
  3. Step 3: Cross multiply
    53,940.50x = 114,685 × 114,685
  4. Step 4: Simplify right side
    53,940.50x = 13,152,649,225
  5. Step 5: Solve for x
    x = 13,152,649,225/53,940.50
  6. Step 6: Final answer
    x = 243,836.25

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.