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Finding the Third Proportional to 53,186 and 113,412

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Solution

The third proportional to 53,186 and 113,412 is: 241,835.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,186 : 113,412 = 113,412 : x
  2. Step 2: Convert to fraction form
    53,186/113,412 = 113,412/x
  3. Step 3: Cross multiply
    53,186x = 113,412 × 113,412
  4. Step 4: Simplify right side
    53,186x = 12,862,281,744
  5. Step 5: Solve for x
    x = 12,862,281,744/53,186
  6. Step 6: Final answer
    x = 241,835.85

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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.