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Finding the Third Proportional to 116,711 and 182,893

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Solution

The third proportional to 116,711 and 182,893 is: 286,604.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,711 : 182,893 = 182,893 : x
  2. Step 2: Convert to fraction form
    116,711/182,893 = 182,893/x
  3. Step 3: Cross multiply
    116,711x = 182,893 × 182,893
  4. Step 4: Simplify right side
    116,711x = 33,449,849,449
  5. Step 5: Solve for x
    x = 33,449,849,449/116,711
  6. Step 6: Final answer
    x = 286,604.09

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.