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Finding the Third Proportional to 72,296 and 108,060

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Solution

The third proportional to 72,296 and 108,060 is: 161,516.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,296 : 108,060 = 108,060 : x
  2. Step 2: Convert to fraction form
    72,296/108,060 = 108,060/x
  3. Step 3: Cross multiply
    72,296x = 108,060 × 108,060
  4. Step 4: Simplify right side
    72,296x = 11,676,963,600
  5. Step 5: Solve for x
    x = 11,676,963,600/72,296
  6. Step 6: Final answer
    x = 161,516.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.