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Finding the Third Proportional to 53,562 and 113,142

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Solution

The third proportional to 53,562 and 113,142 is: 238,996.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,562 : 113,142 = 113,142 : x
  2. Step 2: Convert to fraction form
    53,562/113,142 = 113,142/x
  3. Step 3: Cross multiply
    53,562x = 113,142 × 113,142
  4. Step 4: Simplify right side
    53,562x = 12,801,112,164
  5. Step 5: Solve for x
    x = 12,801,112,164/53,562
  6. Step 6: Final answer
    x = 238,996.16

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.