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Finding the Third Proportional to 92,628 and 133,838

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Solution

The third proportional to 92,628 and 133,838 is: 193,382.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,628 : 133,838 = 133,838 : x
  2. Step 2: Convert to fraction form
    92,628/133,838 = 133,838/x
  3. Step 3: Cross multiply
    92,628x = 133,838 × 133,838
  4. Step 4: Simplify right side
    92,628x = 17,912,610,244
  5. Step 5: Solve for x
    x = 17,912,610,244/92,628
  6. Step 6: Final answer
    x = 193,382.24

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.