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Finding the Third Proportional to 54,562 and 114,628

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Solution

The third proportional to 54,562 and 114,628 is: 240,819.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,562 : 114,628 = 114,628 : x
  2. Step 2: Convert to fraction form
    54,562/114,628 = 114,628/x
  3. Step 3: Cross multiply
    54,562x = 114,628 × 114,628
  4. Step 4: Simplify right side
    54,562x = 13,139,578,384
  5. Step 5: Solve for x
    x = 13,139,578,384/54,562
  6. Step 6: Final answer
    x = 240,819.22

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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.