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Finding the Third Proportional to 79,394 and 112,852

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Solution

The third proportional to 79,394 and 112,852 is: 160,409.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,394 : 112,852 = 112,852 : x
  2. Step 2: Convert to fraction form
    79,394/112,852 = 112,852/x
  3. Step 3: Cross multiply
    79,394x = 112,852 × 112,852
  4. Step 4: Simplify right side
    79,394x = 12,735,573,904
  5. Step 5: Solve for x
    x = 12,735,573,904/79,394
  6. Step 6: Final answer
    x = 160,409.78

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.