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Finding the Third Proportional to 52,842 and 115,485

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Solution

The third proportional to 52,842 and 115,485 is: 252,389.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,842 : 115,485 = 115,485 : x
  2. Step 2: Convert to fraction form
    52,842/115,485 = 115,485/x
  3. Step 3: Cross multiply
    52,842x = 115,485 × 115,485
  4. Step 4: Simplify right side
    52,842x = 13,336,785,225
  5. Step 5: Solve for x
    x = 13,336,785,225/52,842
  6. Step 6: Final answer
    x = 252,389.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.