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Finding the Third Proportional to 56,463.75 and 82,573.31

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Solution

The third proportional to 56,463.75 and 82,573.31 is: 120,756.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,463.75 : 82,573.31 = 82,573.31 : x
  2. Step 2: Convert to fraction form
    56,463.75/82,573.31 = 82,573.31/x
  3. Step 3: Cross multiply
    56,463.75x = 82,573.31 × 82,573.31
  4. Step 4: Simplify right side
    56,463.75x = 6,818,351,937.22
  5. Step 5: Solve for x
    x = 6,818,351,937.22/56,463.75
  6. Step 6: Final answer
    x = 120,756.27

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.