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Finding the Third Proportional to 93,417 and 140,221

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Solution

The third proportional to 93,417 and 140,221 is: 210,474.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,417 : 140,221 = 140,221 : x
  2. Step 2: Convert to fraction form
    93,417/140,221 = 140,221/x
  3. Step 3: Cross multiply
    93,417x = 140,221 × 140,221
  4. Step 4: Simplify right side
    93,417x = 19,661,928,841
  5. Step 5: Solve for x
    x = 19,661,928,841/93,417
  6. Step 6: Final answer
    x = 210,474.85

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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.