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Finding the Third Proportional to 32,772 and 71,106

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Solution

The third proportional to 32,772 and 71,106 is: 154,279.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,772 : 71,106 = 71,106 : x
  2. Step 2: Convert to fraction form
    32,772/71,106 = 71,106/x
  3. Step 3: Cross multiply
    32,772x = 71,106 × 71,106
  4. Step 4: Simplify right side
    32,772x = 5,056,063,236
  5. Step 5: Solve for x
    x = 5,056,063,236/32,772
  6. Step 6: Final answer
    x = 154,279.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.