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Finding the Third Proportional to 72,756 and 112,131

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Solution

The third proportional to 72,756 and 112,131 is: 172,815.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,756 : 112,131 = 112,131 : x
  2. Step 2: Convert to fraction form
    72,756/112,131 = 112,131/x
  3. Step 3: Cross multiply
    72,756x = 112,131 × 112,131
  4. Step 4: Simplify right side
    72,756x = 12,573,361,161
  5. Step 5: Solve for x
    x = 12,573,361,161/72,756
  6. Step 6: Final answer
    x = 172,815.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.