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Finding the Third Proportional to 56,500.50 and 84,873

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Solution

The third proportional to 56,500.50 and 84,873 is: 127,493.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,500.50 : 84,873 = 84,873 : x
  2. Step 2: Convert to fraction form
    56,500.50/84,873 = 84,873/x
  3. Step 3: Cross multiply
    56,500.50x = 84,873 × 84,873
  4. Step 4: Simplify right side
    56,500.50x = 7,203,426,129
  5. Step 5: Solve for x
    x = 7,203,426,129/56,500.50
  6. Step 6: Final answer
    x = 127,493.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.