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Finding the Third Proportional to 31,113.84 and 73,136.67

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Solution

The third proportional to 31,113.84 and 73,136.67 is: 171,916.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,113.84 : 73,136.67 = 73,136.67 : x
  2. Step 2: Convert to fraction form
    31,113.84/73,136.67 = 73,136.67/x
  3. Step 3: Cross multiply
    31,113.84x = 73,136.67 × 73,136.67
  4. Step 4: Simplify right side
    31,113.84x = 5,348,972,772.95
  5. Step 5: Solve for x
    x = 5,348,972,772.95/31,113.84
  6. Step 6: Final answer
    x = 171,916.17

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.