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Finding the Third Proportional to 54,025 and 117,796

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Solution

The third proportional to 54,025 and 117,796 is: 256,842.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,025 : 117,796 = 117,796 : x
  2. Step 2: Convert to fraction form
    54,025/117,796 = 117,796/x
  3. Step 3: Cross multiply
    54,025x = 117,796 × 117,796
  4. Step 4: Simplify right side
    54,025x = 13,875,897,616
  5. Step 5: Solve for x
    x = 13,875,897,616/54,025
  6. Step 6: Final answer
    x = 256,842.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.