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Finding the Third Proportional to 54,682 and 116,946.50

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Solution

The third proportional to 54,682 and 116,946.50 is: 250,109.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,682 : 116,946.50 = 116,946.50 : x
  2. Step 2: Convert to fraction form
    54,682/116,946.50 = 116,946.50/x
  3. Step 3: Cross multiply
    54,682x = 116,946.50 × 116,946.50
  4. Step 4: Simplify right side
    54,682x = 13,676,483,862.25
  5. Step 5: Solve for x
    x = 13,676,483,862.25/54,682
  6. Step 6: Final answer
    x = 250,109.43

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.