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Finding the Third Proportional to 67,072 and 106,536

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Solution

The third proportional to 67,072 and 106,536 is: 169,219.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,072 : 106,536 = 106,536 : x
  2. Step 2: Convert to fraction form
    67,072/106,536 = 106,536/x
  3. Step 3: Cross multiply
    67,072x = 106,536 × 106,536
  4. Step 4: Simplify right side
    67,072x = 11,349,919,296
  5. Step 5: Solve for x
    x = 11,349,919,296/67,072
  6. Step 6: Final answer
    x = 169,219.93

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.