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Finding the Third Proportional to 52,409.81 and 80,653.88

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Solution

The third proportional to 52,409.81 and 80,653.88 is: 124,118.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,409.81 : 80,653.88 = 80,653.88 : x
  2. Step 2: Convert to fraction form
    52,409.81/80,653.88 = 80,653.88/x
  3. Step 3: Cross multiply
    52,409.81x = 80,653.88 × 80,653.88
  4. Step 4: Simplify right side
    52,409.81x = 6,505,047,552.52
  5. Step 5: Solve for x
    x = 6,505,047,552.52/52,409.81
  6. Step 6: Final answer
    x = 124,118.89

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.