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Finding the Third Proportional to 80,205.19 and 112,133.74

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Solution

The third proportional to 80,205.19 and 112,133.74 is: 156,772.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,205.19 : 112,133.74 = 112,133.74 : x
  2. Step 2: Convert to fraction form
    80,205.19/112,133.74 = 112,133.74/x
  3. Step 3: Cross multiply
    80,205.19x = 112,133.74 × 112,133.74
  4. Step 4: Simplify right side
    80,205.19x = 12,573,976,136.97
  5. Step 5: Solve for x
    x = 12,573,976,136.97/80,205.19
  6. Step 6: Final answer
    x = 156,772.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.