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Finding the Third Proportional to 56,910.75 and 83,520.94

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Solution

The third proportional to 56,910.75 and 83,520.94 is: 122,573.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,910.75 : 83,520.94 = 83,520.94 : x
  2. Step 2: Convert to fraction form
    56,910.75/83,520.94 = 83,520.94/x
  3. Step 3: Cross multiply
    56,910.75x = 83,520.94 × 83,520.94
  4. Step 4: Simplify right side
    56,910.75x = 6,975,747,000.88
  5. Step 5: Solve for x
    x = 6,975,747,000.88/56,910.75
  6. Step 6: Final answer
    x = 122,573.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.