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Finding the Third Proportional to 67,941 and 112,290

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Solution

The third proportional to 67,941 and 112,290 is: 185,588.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,941 : 112,290 = 112,290 : x
  2. Step 2: Convert to fraction form
    67,941/112,290 = 112,290/x
  3. Step 3: Cross multiply
    67,941x = 112,290 × 112,290
  4. Step 4: Simplify right side
    67,941x = 12,609,044,100
  5. Step 5: Solve for x
    x = 12,609,044,100/67,941
  6. Step 6: Final answer
    x = 185,588.14

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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.