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Finding the Third Proportional to 53,218.50 and 88,694.25

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Solution

The third proportional to 53,218.50 and 88,694.25 is: 147,818.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,218.50 : 88,694.25 = 88,694.25 : x
  2. Step 2: Convert to fraction form
    53,218.50/88,694.25 = 88,694.25/x
  3. Step 3: Cross multiply
    53,218.50x = 88,694.25 × 88,694.25
  4. Step 4: Simplify right side
    53,218.50x = 7,866,669,983.06
  5. Step 5: Solve for x
    x = 7,866,669,983.06/53,218.50
  6. Step 6: Final answer
    x = 147,818.33

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.