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Finding the Third Proportional to 84,302 and 112,761

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Solution

The third proportional to 84,302 and 112,761 is: 150,827.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,302 : 112,761 = 112,761 : x
  2. Step 2: Convert to fraction form
    84,302/112,761 = 112,761/x
  3. Step 3: Cross multiply
    84,302x = 112,761 × 112,761
  4. Step 4: Simplify right side
    84,302x = 12,715,043,121
  5. Step 5: Solve for x
    x = 12,715,043,121/84,302
  6. Step 6: Final answer
    x = 150,827.30

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.