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Finding the Third Proportional to 73,714.43 and 157,942.41

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Solution

The third proportional to 73,714.43 and 157,942.41 is: 338,411.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,714.43 : 157,942.41 = 157,942.41 : x
  2. Step 2: Convert to fraction form
    73,714.43/157,942.41 = 157,942.41/x
  3. Step 3: Cross multiply
    73,714.43x = 157,942.41 × 157,942.41
  4. Step 4: Simplify right side
    73,714.43x = 24,945,803,692.04
  5. Step 5: Solve for x
    x = 24,945,803,692.04/73,714.43
  6. Step 6: Final answer
    x = 338,411.40

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Why These Related Problems?

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