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Finding the Third Proportional to 67,862 and 99,766

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Solution

The third proportional to 67,862 and 99,766 is: 146,669.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,862 : 99,766 = 99,766 : x
  2. Step 2: Convert to fraction form
    67,862/99,766 = 99,766/x
  3. Step 3: Cross multiply
    67,862x = 99,766 × 99,766
  4. Step 4: Simplify right side
    67,862x = 9,953,254,756
  5. Step 5: Solve for x
    x = 9,953,254,756/67,862
  6. Step 6: Final answer
    x = 146,669.05

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.