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Finding the Third Proportional to 67,533 and 156,347

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Solution

The third proportional to 67,533 and 156,347 is: 361,962.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,533 : 156,347 = 156,347 : x
  2. Step 2: Convert to fraction form
    67,533/156,347 = 156,347/x
  3. Step 3: Cross multiply
    67,533x = 156,347 × 156,347
  4. Step 4: Simplify right side
    67,533x = 24,444,384,409
  5. Step 5: Solve for x
    x = 24,444,384,409/67,533
  6. Step 6: Final answer
    x = 361,962.07

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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.