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Finding the Third Proportional to 55,786 and 84,984

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Solution

The third proportional to 55,786 and 84,984 is: 129,464.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,786 : 84,984 = 84,984 : x
  2. Step 2: Convert to fraction form
    55,786/84,984 = 84,984/x
  3. Step 3: Cross multiply
    55,786x = 84,984 × 84,984
  4. Step 4: Simplify right side
    55,786x = 7,222,280,256
  5. Step 5: Solve for x
    x = 7,222,280,256/55,786
  6. Step 6: Final answer
    x = 129,464.03

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.