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Finding the Third Proportional to 55,922 and 84,603

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Solution

The third proportional to 55,922 and 84,603 is: 127,993.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,922 : 84,603 = 84,603 : x
  2. Step 2: Convert to fraction form
    55,922/84,603 = 84,603/x
  3. Step 3: Cross multiply
    55,922x = 84,603 × 84,603
  4. Step 4: Simplify right side
    55,922x = 7,157,667,609
  5. Step 5: Solve for x
    x = 7,157,667,609/55,922
  6. Step 6: Final answer
    x = 127,993.77

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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.