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Finding the Third Proportional to 55,096.88 and 81,835.31

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Solution

The third proportional to 55,096.88 and 81,835.31 is: 121,549.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,096.88 : 81,835.31 = 81,835.31 : x
  2. Step 2: Convert to fraction form
    55,096.88/81,835.31 = 81,835.31/x
  3. Step 3: Cross multiply
    55,096.88x = 81,835.31 × 81,835.31
  4. Step 4: Simplify right side
    55,096.88x = 6,697,018,371.97
  5. Step 5: Solve for x
    x = 6,697,018,371.97/55,096.88
  6. Step 6: Final answer
    x = 121,549.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.