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Finding the Third Proportional to 103,691 and 155,932

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Solution

The third proportional to 103,691 and 155,932 is: 234,492.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,691 : 155,932 = 155,932 : x
  2. Step 2: Convert to fraction form
    103,691/155,932 = 155,932/x
  3. Step 3: Cross multiply
    103,691x = 155,932 × 155,932
  4. Step 4: Simplify right side
    103,691x = 24,314,788,624
  5. Step 5: Solve for x
    x = 24,314,788,624/103,691
  6. Step 6: Final answer
    x = 234,492.76

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