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Finding the Third Proportional to 68,096 and 112,539

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Solution

The third proportional to 68,096 and 112,539 is: 185,987.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,096 : 112,539 = 112,539 : x
  2. Step 2: Convert to fraction form
    68,096/112,539 = 112,539/x
  3. Step 3: Cross multiply
    68,096x = 112,539 × 112,539
  4. Step 4: Simplify right side
    68,096x = 12,665,026,521
  5. Step 5: Solve for x
    x = 12,665,026,521/68,096
  6. Step 6: Final answer
    x = 185,987.82

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.