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Finding the Third Proportional to 53,793 and 113,985

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Solution

The third proportional to 53,793 and 113,985 is: 241,529.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,793 : 113,985 = 113,985 : x
  2. Step 2: Convert to fraction form
    53,793/113,985 = 113,985/x
  3. Step 3: Cross multiply
    53,793x = 113,985 × 113,985
  4. Step 4: Simplify right side
    53,793x = 12,992,580,225
  5. Step 5: Solve for x
    x = 12,992,580,225/53,793
  6. Step 6: Final answer
    x = 241,529.20

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.