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Finding the Third Proportional to 72,396 and 108,156

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Solution

The third proportional to 72,396 and 108,156 is: 161,579.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,396 : 108,156 = 108,156 : x
  2. Step 2: Convert to fraction form
    72,396/108,156 = 108,156/x
  3. Step 3: Cross multiply
    72,396x = 108,156 × 108,156
  4. Step 4: Simplify right side
    72,396x = 11,697,720,336
  5. Step 5: Solve for x
    x = 11,697,720,336/72,396
  6. Step 6: Final answer
    x = 161,579.65

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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.