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Finding the Third Proportional to 80,215.50 and 112,395

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Solution

The third proportional to 80,215.50 and 112,395 is: 157,483.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,215.50 : 112,395 = 112,395 : x
  2. Step 2: Convert to fraction form
    80,215.50/112,395 = 112,395/x
  3. Step 3: Cross multiply
    80,215.50x = 112,395 × 112,395
  4. Step 4: Simplify right side
    80,215.50x = 12,632,636,025
  5. Step 5: Solve for x
    x = 12,632,636,025/80,215.50
  6. Step 6: Final answer
    x = 157,483.73

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.