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Finding the Third Proportional to 52,954.25 and 82,557.25

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Solution

The third proportional to 52,954.25 and 82,557.25 is: 128,709.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,954.25 : 82,557.25 = 82,557.25 : x
  2. Step 2: Convert to fraction form
    52,954.25/82,557.25 = 82,557.25/x
  3. Step 3: Cross multiply
    52,954.25x = 82,557.25 × 82,557.25
  4. Step 4: Simplify right side
    52,954.25x = 6,815,699,527.56
  5. Step 5: Solve for x
    x = 6,815,699,527.56/52,954.25
  6. Step 6: Final answer
    x = 128,709.21

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Why These Related Problems?

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