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Finding the Third Proportional to 93,759 and 202,179

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Solution

The third proportional to 93,759 and 202,179 is: 435,972.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,759 : 202,179 = 202,179 : x
  2. Step 2: Convert to fraction form
    93,759/202,179 = 202,179/x
  3. Step 3: Cross multiply
    93,759x = 202,179 × 202,179
  4. Step 4: Simplify right side
    93,759x = 40,876,348,041
  5. Step 5: Solve for x
    x = 40,876,348,041/93,759
  6. Step 6: Final answer
    x = 435,972.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.