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Finding the Third Proportional to 119,878.03 and 178,996.50

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Solution

The third proportional to 119,878.03 and 178,996.50 is: 267,269.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,878.03 : 178,996.50 = 178,996.50 : x
  2. Step 2: Convert to fraction form
    119,878.03/178,996.50 = 178,996.50/x
  3. Step 3: Cross multiply
    119,878.03x = 178,996.50 × 178,996.50
  4. Step 4: Simplify right side
    119,878.03x = 32,039,747,012.25
  5. Step 5: Solve for x
    x = 32,039,747,012.25/119,878.03
  6. Step 6: Final answer
    x = 267,269.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.