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Finding the Third Proportional to 54,548 and 117,702

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Solution

The third proportional to 54,548 and 117,702 is: 253,973.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,548 : 117,702 = 117,702 : x
  2. Step 2: Convert to fraction form
    54,548/117,702 = 117,702/x
  3. Step 3: Cross multiply
    54,548x = 117,702 × 117,702
  4. Step 4: Simplify right side
    54,548x = 13,853,760,804
  5. Step 5: Solve for x
    x = 13,853,760,804/54,548
  6. Step 6: Final answer
    x = 253,973.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.