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Finding the Third Proportional to 55,944 and 84,456

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Solution

The third proportional to 55,944 and 84,456 is: 127,499.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,944 : 84,456 = 84,456 : x
  2. Step 2: Convert to fraction form
    55,944/84,456 = 84,456/x
  3. Step 3: Cross multiply
    55,944x = 84,456 × 84,456
  4. Step 4: Simplify right side
    55,944x = 7,132,815,936
  5. Step 5: Solve for x
    x = 7,132,815,936/55,944
  6. Step 6: Final answer
    x = 127,499.21

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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.