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Finding the Third Proportional to 93,384 and 134,241

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Solution

The third proportional to 93,384 and 134,241 is: 192,973.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,384 : 134,241 = 134,241 : x
  2. Step 2: Convert to fraction form
    93,384/134,241 = 134,241/x
  3. Step 3: Cross multiply
    93,384x = 134,241 × 134,241
  4. Step 4: Simplify right side
    93,384x = 18,020,646,081
  5. Step 5: Solve for x
    x = 18,020,646,081/93,384
  6. Step 6: Final answer
    x = 192,973.59

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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.