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Finding the Third Proportional to 52,467.75 and 82,076.63

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Solution

The third proportional to 52,467.75 and 82,076.63 is: 128,394.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,467.75 : 82,076.63 = 82,076.63 : x
  2. Step 2: Convert to fraction form
    52,467.75/82,076.63 = 82,076.63/x
  3. Step 3: Cross multiply
    52,467.75x = 82,076.63 × 82,076.63
  4. Step 4: Simplify right side
    52,467.75x = 6,736,572,371.39
  5. Step 5: Solve for x
    x = 6,736,572,371.39/52,467.75
  6. Step 6: Final answer
    x = 128,394.54

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.