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Finding the Third Proportional to 52,877.81 and 80,992.41

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Solution

The third proportional to 52,877.81 and 80,992.41 is: 124,055.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,877.81 : 80,992.41 = 80,992.41 : x
  2. Step 2: Convert to fraction form
    52,877.81/80,992.41 = 80,992.41/x
  3. Step 3: Cross multiply
    52,877.81x = 80,992.41 × 80,992.41
  4. Step 4: Simplify right side
    52,877.81x = 6,559,769,870.17
  5. Step 5: Solve for x
    x = 6,559,769,870.17/52,877.81
  6. Step 6: Final answer
    x = 124,055.24

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.