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Finding the Third Proportional to 75,374 and 156,951

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Solution

The third proportional to 75,374 and 156,951 is: 326,818.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,374 : 156,951 = 156,951 : x
  2. Step 2: Convert to fraction form
    75,374/156,951 = 156,951/x
  3. Step 3: Cross multiply
    75,374x = 156,951 × 156,951
  4. Step 4: Simplify right side
    75,374x = 24,633,616,401
  5. Step 5: Solve for x
    x = 24,633,616,401/75,374
  6. Step 6: Final answer
    x = 326,818.48

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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.