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Finding the Third Proportional to 47,352.75 and 78,911.25

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Solution

The third proportional to 47,352.75 and 78,911.25 is: 131,502.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,352.75 : 78,911.25 = 78,911.25 : x
  2. Step 2: Convert to fraction form
    47,352.75/78,911.25 = 78,911.25/x
  3. Step 3: Cross multiply
    47,352.75x = 78,911.25 × 78,911.25
  4. Step 4: Simplify right side
    47,352.75x = 6,226,985,376.56
  5. Step 5: Solve for x
    x = 6,226,985,376.56/47,352.75
  6. Step 6: Final answer
    x = 131,502.09

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.