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Finding the Third Proportional to 93,575 and 140,241

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Solution

The third proportional to 93,575 and 140,241 is: 210,179.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,575 : 140,241 = 140,241 : x
  2. Step 2: Convert to fraction form
    93,575/140,241 = 140,241/x
  3. Step 3: Cross multiply
    93,575x = 140,241 × 140,241
  4. Step 4: Simplify right side
    93,575x = 19,667,538,081
  5. Step 5: Solve for x
    x = 19,667,538,081/93,575
  6. Step 6: Final answer
    x = 210,179.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.