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Finding the Third Proportional to 53,464.50 and 108,225

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Solution

The third proportional to 53,464.50 and 108,225 is: 219,073.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,464.50 : 108,225 = 108,225 : x
  2. Step 2: Convert to fraction form
    53,464.50/108,225 = 108,225/x
  3. Step 3: Cross multiply
    53,464.50x = 108,225 × 108,225
  4. Step 4: Simplify right side
    53,464.50x = 11,712,650,625
  5. Step 5: Solve for x
    x = 11,712,650,625/53,464.50
  6. Step 6: Final answer
    x = 219,073.42

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.