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Finding the Third Proportional to 55,894 and 84,563

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Solution

The third proportional to 55,894 and 84,563 is: 127,936.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,894 : 84,563 = 84,563 : x
  2. Step 2: Convert to fraction form
    55,894/84,563 = 84,563/x
  3. Step 3: Cross multiply
    55,894x = 84,563 × 84,563
  4. Step 4: Simplify right side
    55,894x = 7,150,900,969
  5. Step 5: Solve for x
    x = 7,150,900,969/55,894
  6. Step 6: Final answer
    x = 127,936.83

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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.