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Finding the Third Proportional to 116,949.75 and 182,269.13

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Solution

The third proportional to 116,949.75 and 182,269.13 is: 284,071.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,949.75 : 182,269.13 = 182,269.13 : x
  2. Step 2: Convert to fraction form
    116,949.75/182,269.13 = 182,269.13/x
  3. Step 3: Cross multiply
    116,949.75x = 182,269.13 × 182,269.13
  4. Step 4: Simplify right side
    116,949.75x = 33,222,033,928.27
  5. Step 5: Solve for x
    x = 33,222,033,928.27/116,949.75
  6. Step 6: Final answer
    x = 284,071.01

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.