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Finding the Third Proportional to 57,206.25 and 82,528.88

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Solution

The third proportional to 57,206.25 and 82,528.88 is: 119,060.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,206.25 : 82,528.88 = 82,528.88 : x
  2. Step 2: Convert to fraction form
    57,206.25/82,528.88 = 82,528.88/x
  3. Step 3: Cross multiply
    57,206.25x = 82,528.88 × 82,528.88
  4. Step 4: Simplify right side
    57,206.25x = 6,811,015,208.77
  5. Step 5: Solve for x
    x = 6,811,015,208.77/57,206.25
  6. Step 6: Final answer
    x = 119,060.68

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.