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Finding the Third Proportional to 54,226 and 115,364

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Solution

The third proportional to 54,226 and 115,364 is: 245,433.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,226 : 115,364 = 115,364 : x
  2. Step 2: Convert to fraction form
    54,226/115,364 = 115,364/x
  3. Step 3: Cross multiply
    54,226x = 115,364 × 115,364
  4. Step 4: Simplify right side
    54,226x = 13,308,852,496
  5. Step 5: Solve for x
    x = 13,308,852,496/54,226
  6. Step 6: Final answer
    x = 245,433.05

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.