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Finding the Third Proportional to 67,692 and 96,210

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Solution

The third proportional to 67,692 and 96,210 is: 136,742.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,692 : 96,210 = 96,210 : x
  2. Step 2: Convert to fraction form
    67,692/96,210 = 96,210/x
  3. Step 3: Cross multiply
    67,692x = 96,210 × 96,210
  4. Step 4: Simplify right side
    67,692x = 9,256,364,100
  5. Step 5: Solve for x
    x = 9,256,364,100/67,692
  6. Step 6: Final answer
    x = 136,742.36

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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.