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Finding the Third Proportional to 79,392.75 and 112,851

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Solution

The third proportional to 79,392.75 and 112,851 is: 160,409.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,392.75 : 112,851 = 112,851 : x
  2. Step 2: Convert to fraction form
    79,392.75/112,851 = 112,851/x
  3. Step 3: Cross multiply
    79,392.75x = 112,851 × 112,851
  4. Step 4: Simplify right side
    79,392.75x = 12,735,348,201
  5. Step 5: Solve for x
    x = 12,735,348,201/79,392.75
  6. Step 6: Final answer
    x = 160,409.46

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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.