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Finding the Third Proportional to 54,724 and 117,818

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Solution

The third proportional to 54,724 and 117,818 is: 253,656.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,724 : 117,818 = 117,818 : x
  2. Step 2: Convert to fraction form
    54,724/117,818 = 117,818/x
  3. Step 3: Cross multiply
    54,724x = 117,818 × 117,818
  4. Step 4: Simplify right side
    54,724x = 13,881,081,124
  5. Step 5: Solve for x
    x = 13,881,081,124/54,724
  6. Step 6: Final answer
    x = 253,656.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.