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Finding the Third Proportional to 54,773 and 83,184

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Solution

The third proportional to 54,773 and 83,184 is: 126,331.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,773 : 83,184 = 83,184 : x
  2. Step 2: Convert to fraction form
    54,773/83,184 = 83,184/x
  3. Step 3: Cross multiply
    54,773x = 83,184 × 83,184
  4. Step 4: Simplify right side
    54,773x = 6,919,577,856
  5. Step 5: Solve for x
    x = 6,919,577,856/54,773
  6. Step 6: Final answer
    x = 126,331.91

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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.