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Finding the Third Proportional to 74,226.38 and 114,982.88

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Solution

The third proportional to 74,226.38 and 114,982.88 is: 178,118.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,226.38 : 114,982.88 = 114,982.88 : x
  2. Step 2: Convert to fraction form
    74,226.38/114,982.88 = 114,982.88/x
  3. Step 3: Cross multiply
    74,226.38x = 114,982.88 × 114,982.88
  4. Step 4: Simplify right side
    74,226.38x = 13,221,061,543.27
  5. Step 5: Solve for x
    x = 13,221,061,543.27/74,226.38
  6. Step 6: Final answer
    x = 178,118.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.