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Finding the Third Proportional to 54,564 and 114,636

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Solution

The third proportional to 54,564 and 114,636 is: 240,844.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,564 : 114,636 = 114,636 : x
  2. Step 2: Convert to fraction form
    54,564/114,636 = 114,636/x
  3. Step 3: Cross multiply
    54,564x = 114,636 × 114,636
  4. Step 4: Simplify right side
    54,564x = 13,141,412,496
  5. Step 5: Solve for x
    x = 13,141,412,496/54,564
  6. Step 6: Final answer
    x = 240,844.01

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.