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Finding the Third Proportional to 76,068 and 169,632

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Solution

The third proportional to 76,068 and 169,632 is: 378,280.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,068 : 169,632 = 169,632 : x
  2. Step 2: Convert to fraction form
    76,068/169,632 = 169,632/x
  3. Step 3: Cross multiply
    76,068x = 169,632 × 169,632
  4. Step 4: Simplify right side
    76,068x = 28,775,015,424
  5. Step 5: Solve for x
    x = 28,775,015,424/76,068
  6. Step 6: Final answer
    x = 378,280.16

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.