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Finding the Third Proportional to 73,136.25 and 109,224

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Solution

The third proportional to 73,136.25 and 109,224 is: 163,118.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,136.25 : 109,224 = 109,224 : x
  2. Step 2: Convert to fraction form
    73,136.25/109,224 = 109,224/x
  3. Step 3: Cross multiply
    73,136.25x = 109,224 × 109,224
  4. Step 4: Simplify right side
    73,136.25x = 11,929,882,176
  5. Step 5: Solve for x
    x = 11,929,882,176/73,136.25
  6. Step 6: Final answer
    x = 163,118.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.