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Finding the Third Proportional to 76,068 and 160,632

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Solution

The third proportional to 76,068 and 160,632 is: 339,204.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,068 : 160,632 = 160,632 : x
  2. Step 2: Convert to fraction form
    76,068/160,632 = 160,632/x
  3. Step 3: Cross multiply
    76,068x = 160,632 × 160,632
  4. Step 4: Simplify right side
    76,068x = 25,802,639,424
  5. Step 5: Solve for x
    x = 25,802,639,424/76,068
  6. Step 6: Final answer
    x = 339,204.91

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.