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Finding the Third Proportional to 103,692 and 146,849

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Solution

The third proportional to 103,692 and 146,849 is: 207,968.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,692 : 146,849 = 146,849 : x
  2. Step 2: Convert to fraction form
    103,692/146,849 = 146,849/x
  3. Step 3: Cross multiply
    103,692x = 146,849 × 146,849
  4. Step 4: Simplify right side
    103,692x = 21,564,628,801
  5. Step 5: Solve for x
    x = 21,564,628,801/103,692
  6. Step 6: Final answer
    x = 207,968.11

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.