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Finding the Third Proportional to 67,862 and 89,238.50

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Solution

The third proportional to 67,862 and 89,238.50 is: 117,348.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,862 : 89,238.50 = 89,238.50 : x
  2. Step 2: Convert to fraction form
    67,862/89,238.50 = 89,238.50/x
  3. Step 3: Cross multiply
    67,862x = 89,238.50 × 89,238.50
  4. Step 4: Simplify right side
    67,862x = 7,963,509,882.25
  5. Step 5: Solve for x
    x = 7,963,509,882.25/67,862
  6. Step 6: Final answer
    x = 117,348.59

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.