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Finding the Third Proportional to 103,932 and 156,834

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Solution

The third proportional to 103,932 and 156,834 is: 236,663.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,932 : 156,834 = 156,834 : x
  2. Step 2: Convert to fraction form
    103,932/156,834 = 156,834/x
  3. Step 3: Cross multiply
    103,932x = 156,834 × 156,834
  4. Step 4: Simplify right side
    103,932x = 24,596,903,556
  5. Step 5: Solve for x
    x = 24,596,903,556/103,932
  6. Step 6: Final answer
    x = 236,663.43

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.