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Finding the Third Proportional to 54,564 and 117,471

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Solution

The third proportional to 54,564 and 117,471 is: 252,903.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,564 : 117,471 = 117,471 : x
  2. Step 2: Convert to fraction form
    54,564/117,471 = 117,471/x
  3. Step 3: Cross multiply
    54,564x = 117,471 × 117,471
  4. Step 4: Simplify right side
    54,564x = 13,799,435,841
  5. Step 5: Solve for x
    x = 13,799,435,841/54,564
  6. Step 6: Final answer
    x = 252,903.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.