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Finding the Third Proportional to 55,098.56 and 81,837.56

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Solution

The third proportional to 55,098.56 and 81,837.56 is: 121,552.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,098.56 : 81,837.56 = 81,837.56 : x
  2. Step 2: Convert to fraction form
    55,098.56/81,837.56 = 81,837.56/x
  3. Step 3: Cross multiply
    55,098.56x = 81,837.56 × 81,837.56
  4. Step 4: Simplify right side
    55,098.56x = 6,697,386,635.94
  5. Step 5: Solve for x
    x = 6,697,386,635.94/55,098.56
  6. Step 6: Final answer
    x = 121,552.84

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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.