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Finding the Third Proportional to 51,935 and 113,485

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Solution

The third proportional to 51,935 and 113,485 is: 247,980.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,935 : 113,485 = 113,485 : x
  2. Step 2: Convert to fraction form
    51,935/113,485 = 113,485/x
  3. Step 3: Cross multiply
    51,935x = 113,485 × 113,485
  4. Step 4: Simplify right side
    51,935x = 12,878,845,225
  5. Step 5: Solve for x
    x = 12,878,845,225/51,935
  6. Step 6: Final answer
    x = 247,980.08

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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.