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Finding the Third Proportional to 103,929 and 131,836.50

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Solution

The third proportional to 103,929 and 131,836.50 is: 167,237.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,929 : 131,836.50 = 131,836.50 : x
  2. Step 2: Convert to fraction form
    103,929/131,836.50 = 131,836.50/x
  3. Step 3: Cross multiply
    103,929x = 131,836.50 × 131,836.50
  4. Step 4: Simplify right side
    103,929x = 17,380,862,732.25
  5. Step 5: Solve for x
    x = 17,380,862,732.25/103,929
  6. Step 6: Final answer
    x = 167,237.85

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These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.