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Finding the Third Proportional to 67,168.50 and 141,231

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Solution

The third proportional to 67,168.50 and 141,231 is: 296,957.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,168.50 : 141,231 = 141,231 : x
  2. Step 2: Convert to fraction form
    67,168.50/141,231 = 141,231/x
  3. Step 3: Cross multiply
    67,168.50x = 141,231 × 141,231
  4. Step 4: Simplify right side
    67,168.50x = 19,946,195,361
  5. Step 5: Solve for x
    x = 19,946,195,361/67,168.50
  6. Step 6: Final answer
    x = 296,957.58

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.