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Finding the Third Proportional to 53,802.56 and 68,218.03

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Solution

The third proportional to 53,802.56 and 68,218.03 is: 86,495.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,802.56 : 68,218.03 = 68,218.03 : x
  2. Step 2: Convert to fraction form
    53,802.56/68,218.03 = 68,218.03/x
  3. Step 3: Cross multiply
    53,802.56x = 68,218.03 × 68,218.03
  4. Step 4: Simplify right side
    53,802.56x = 4,653,699,787.63
  5. Step 5: Solve for x
    x = 4,653,699,787.63/53,802.56
  6. Step 6: Final answer
    x = 86,495.88

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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.