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Finding the Third Proportional to 67,981.50 and 109,444

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Solution

The third proportional to 67,981.50 and 109,444 is: 176,194.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,981.50 : 109,444 = 109,444 : x
  2. Step 2: Convert to fraction form
    67,981.50/109,444 = 109,444/x
  3. Step 3: Cross multiply
    67,981.50x = 109,444 × 109,444
  4. Step 4: Simplify right side
    67,981.50x = 11,977,989,136
  5. Step 5: Solve for x
    x = 11,977,989,136/67,981.50
  6. Step 6: Final answer
    x = 176,194.83

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.