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Finding the Third Proportional to 54,788 and 129,290

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Solution

The third proportional to 54,788 and 129,290 is: 305,101.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,788 : 129,290 = 129,290 : x
  2. Step 2: Convert to fraction form
    54,788/129,290 = 129,290/x
  3. Step 3: Cross multiply
    54,788x = 129,290 × 129,290
  4. Step 4: Simplify right side
    54,788x = 16,715,904,100
  5. Step 5: Solve for x
    x = 16,715,904,100/54,788
  6. Step 6: Final answer
    x = 305,101.56

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.