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Finding the Third Proportional to 57,823.88 and 84,274.88

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Solution

The third proportional to 57,823.88 and 84,274.88 is: 122,825.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,823.88 : 84,274.88 = 84,274.88 : x
  2. Step 2: Convert to fraction form
    57,823.88/84,274.88 = 84,274.88/x
  3. Step 3: Cross multiply
    57,823.88x = 84,274.88 × 84,274.88
  4. Step 4: Simplify right side
    57,823.88x = 7,102,254,556.27
  5. Step 5: Solve for x
    x = 7,102,254,556.27/57,823.88
  6. Step 6: Final answer
    x = 122,825.64

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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.