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Finding the Third Proportional to 81,895.50 and 179,370

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Solution

The third proportional to 81,895.50 and 179,370 is: 392,861.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,895.50 : 179,370 = 179,370 : x
  2. Step 2: Convert to fraction form
    81,895.50/179,370 = 179,370/x
  3. Step 3: Cross multiply
    81,895.50x = 179,370 × 179,370
  4. Step 4: Simplify right side
    81,895.50x = 32,173,596,900
  5. Step 5: Solve for x
    x = 32,173,596,900/81,895.50
  6. Step 6: Final answer
    x = 392,861.60

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.