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Finding the Third Proportional to 104,012 and 152,315

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Solution

The third proportional to 104,012 and 152,315 is: 223,049.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,012 : 152,315 = 152,315 : x
  2. Step 2: Convert to fraction form
    104,012/152,315 = 152,315/x
  3. Step 3: Cross multiply
    104,012x = 152,315 × 152,315
  4. Step 4: Simplify right side
    104,012x = 23,199,859,225
  5. Step 5: Solve for x
    x = 23,199,859,225/104,012
  6. Step 6: Final answer
    x = 223,049.83

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.