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Finding the Third Proportional to 53,104.50 and 115,870.50

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Solution

The third proportional to 53,104.50 and 115,870.50 is: 252,821.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,104.50 : 115,870.50 = 115,870.50 : x
  2. Step 2: Convert to fraction form
    53,104.50/115,870.50 = 115,870.50/x
  3. Step 3: Cross multiply
    53,104.50x = 115,870.50 × 115,870.50
  4. Step 4: Simplify right side
    53,104.50x = 13,425,972,770.25
  5. Step 5: Solve for x
    x = 13,425,972,770.25/53,104.50
  6. Step 6: Final answer
    x = 252,821.75

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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.