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Finding the Third Proportional to 54,476 and 84,177

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Solution

The third proportional to 54,476 and 84,177 is: 130,071.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,476 : 84,177 = 84,177 : x
  2. Step 2: Convert to fraction form
    54,476/84,177 = 84,177/x
  3. Step 3: Cross multiply
    54,476x = 84,177 × 84,177
  4. Step 4: Simplify right side
    54,476x = 7,085,767,329
  5. Step 5: Solve for x
    x = 7,085,767,329/54,476
  6. Step 6: Final answer
    x = 130,071.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.