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Finding the Third Proportional to 75,414 and 156,955

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Solution

The third proportional to 75,414 and 156,955 is: 326,661.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,414 : 156,955 = 156,955 : x
  2. Step 2: Convert to fraction form
    75,414/156,955 = 156,955/x
  3. Step 3: Cross multiply
    75,414x = 156,955 × 156,955
  4. Step 4: Simplify right side
    75,414x = 24,634,872,025
  5. Step 5: Solve for x
    x = 24,634,872,025/75,414
  6. Step 6: Final answer
    x = 326,661.79

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.