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Finding the Third Proportional to 53,182 and 113,403

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Solution

The third proportional to 53,182 and 113,403 is: 241,815.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,182 : 113,403 = 113,403 : x
  2. Step 2: Convert to fraction form
    53,182/113,403 = 113,403/x
  3. Step 3: Cross multiply
    53,182x = 113,403 × 113,403
  4. Step 4: Simplify right side
    53,182x = 12,860,240,409
  5. Step 5: Solve for x
    x = 12,860,240,409/53,182
  6. Step 6: Final answer
    x = 241,815.66

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.