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Finding the Third Proportional to 53,768.50 and 116,969

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Solution

The third proportional to 53,768.50 and 116,969 is: 254,456.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,768.50 : 116,969 = 116,969 : x
  2. Step 2: Convert to fraction form
    53,768.50/116,969 = 116,969/x
  3. Step 3: Cross multiply
    53,768.50x = 116,969 × 116,969
  4. Step 4: Simplify right side
    53,768.50x = 13,681,746,961
  5. Step 5: Solve for x
    x = 13,681,746,961/53,768.50
  6. Step 6: Final answer
    x = 254,456.55

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.