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Finding the Third Proportional to 52,855.50 and 78,873

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Solution

The third proportional to 52,855.50 and 78,873 is: 117,697.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,855.50 : 78,873 = 78,873 : x
  2. Step 2: Convert to fraction form
    52,855.50/78,873 = 78,873/x
  3. Step 3: Cross multiply
    52,855.50x = 78,873 × 78,873
  4. Step 4: Simplify right side
    52,855.50x = 6,220,950,129
  5. Step 5: Solve for x
    x = 6,220,950,129/52,855.50
  6. Step 6: Final answer
    x = 117,697.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.