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Finding the Third Proportional to 52,783 and 107,713

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Solution

The third proportional to 52,783 and 107,713 is: 219,807.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,783 : 107,713 = 107,713 : x
  2. Step 2: Convert to fraction form
    52,783/107,713 = 107,713/x
  3. Step 3: Cross multiply
    52,783x = 107,713 × 107,713
  4. Step 4: Simplify right side
    52,783x = 11,602,090,369
  5. Step 5: Solve for x
    x = 11,602,090,369/52,783
  6. Step 6: Final answer
    x = 219,807.33

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.