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Finding the Third Proportional to 116,976.75 and 177,115.50

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Solution

The third proportional to 116,976.75 and 177,115.50 is: 268,172.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,976.75 : 177,115.50 = 177,115.50 : x
  2. Step 2: Convert to fraction form
    116,976.75/177,115.50 = 177,115.50/x
  3. Step 3: Cross multiply
    116,976.75x = 177,115.50 × 177,115.50
  4. Step 4: Simplify right side
    116,976.75x = 31,369,900,340.25
  5. Step 5: Solve for x
    x = 31,369,900,340.25/116,976.75
  6. Step 6: Final answer
    x = 268,172.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.