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Finding the Third Proportional to 54,295 and 117,870

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Solution

The third proportional to 54,295 and 117,870 is: 255,886.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,295 : 117,870 = 117,870 : x
  2. Step 2: Convert to fraction form
    54,295/117,870 = 117,870/x
  3. Step 3: Cross multiply
    54,295x = 117,870 × 117,870
  4. Step 4: Simplify right side
    54,295x = 13,893,336,900
  5. Step 5: Solve for x
    x = 13,893,336,900/54,295
  6. Step 6: Final answer
    x = 255,886.12

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.