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Finding the Third Proportional to 80,206.25 and 112,130

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Solution

The third proportional to 80,206.25 and 112,130 is: 156,760.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,206.25 : 112,130 = 112,130 : x
  2. Step 2: Convert to fraction form
    80,206.25/112,130 = 112,130/x
  3. Step 3: Cross multiply
    80,206.25x = 112,130 × 112,130
  4. Step 4: Simplify right side
    80,206.25x = 12,573,136,900
  5. Step 5: Solve for x
    x = 12,573,136,900/80,206.25
  6. Step 6: Final answer
    x = 156,760.06

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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.