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Finding the Third Proportional to 83,423.50 and 179,972

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Solution

The third proportional to 83,423.50 and 179,972 is: 388,258.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,423.50 : 179,972 = 179,972 : x
  2. Step 2: Convert to fraction form
    83,423.50/179,972 = 179,972/x
  3. Step 3: Cross multiply
    83,423.50x = 179,972 × 179,972
  4. Step 4: Simplify right side
    83,423.50x = 32,389,920,784
  5. Step 5: Solve for x
    x = 32,389,920,784/83,423.50
  6. Step 6: Final answer
    x = 388,258.95

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.