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Finding the Third Proportional to 54,827 and 117,970

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Solution

The third proportional to 54,827 and 117,970 is: 253,833.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,827 : 117,970 = 117,970 : x
  2. Step 2: Convert to fraction form
    54,827/117,970 = 117,970/x
  3. Step 3: Cross multiply
    54,827x = 117,970 × 117,970
  4. Step 4: Simplify right side
    54,827x = 13,916,920,900
  5. Step 5: Solve for x
    x = 13,916,920,900/54,827
  6. Step 6: Final answer
    x = 253,833.35

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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.