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Finding the Third Proportional to 67,954 and 112,310

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Solution

The third proportional to 67,954 and 112,310 is: 185,618.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,954 : 112,310 = 112,310 : x
  2. Step 2: Convert to fraction form
    67,954/112,310 = 112,310/x
  3. Step 3: Cross multiply
    67,954x = 112,310 × 112,310
  4. Step 4: Simplify right side
    67,954x = 12,613,536,100
  5. Step 5: Solve for x
    x = 12,613,536,100/67,954
  6. Step 6: Final answer
    x = 185,618.74

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