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Finding the Third Proportional to 53,716.50 and 67,999.50

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Solution

The third proportional to 53,716.50 and 67,999.50 is: 86,080.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,716.50 : 67,999.50 = 67,999.50 : x
  2. Step 2: Convert to fraction form
    53,716.50/67,999.50 = 67,999.50/x
  3. Step 3: Cross multiply
    53,716.50x = 67,999.50 × 67,999.50
  4. Step 4: Simplify right side
    53,716.50x = 4,623,932,000.25
  5. Step 5: Solve for x
    x = 4,623,932,000.25/53,716.50
  6. Step 6: Final answer
    x = 86,080.29

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These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.