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Finding the Third Proportional to 55,893 and 84,562

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Solution

The third proportional to 55,893 and 84,562 is: 127,936.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,893 : 84,562 = 84,562 : x
  2. Step 2: Convert to fraction form
    55,893/84,562 = 84,562/x
  3. Step 3: Cross multiply
    55,893x = 84,562 × 84,562
  4. Step 4: Simplify right side
    55,893x = 7,150,731,844
  5. Step 5: Solve for x
    x = 7,150,731,844/55,893
  6. Step 6: Final answer
    x = 127,936.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.