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Finding the Third Proportional to 67,491 and 156,243

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Solution

The third proportional to 67,491 and 156,243 is: 361,705.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,491 : 156,243 = 156,243 : x
  2. Step 2: Convert to fraction form
    67,491/156,243 = 156,243/x
  3. Step 3: Cross multiply
    67,491x = 156,243 × 156,243
  4. Step 4: Simplify right side
    67,491x = 24,411,875,049
  5. Step 5: Solve for x
    x = 24,411,875,049/67,491
  6. Step 6: Final answer
    x = 361,705.64

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.