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Finding the Third Proportional to 74,034 and 156,330

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Solution

The third proportional to 74,034 and 156,330 is: 330,106.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,034 : 156,330 = 156,330 : x
  2. Step 2: Convert to fraction form
    74,034/156,330 = 156,330/x
  3. Step 3: Cross multiply
    74,034x = 156,330 × 156,330
  4. Step 4: Simplify right side
    74,034x = 24,439,068,900
  5. Step 5: Solve for x
    x = 24,439,068,900/74,034
  6. Step 6: Final answer
    x = 330,106.02

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.