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Finding the Third Proportional to 74,862 and 109,500

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Solution

The third proportional to 74,862 and 109,500 is: 160,164.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,862 : 109,500 = 109,500 : x
  2. Step 2: Convert to fraction form
    74,862/109,500 = 109,500/x
  3. Step 3: Cross multiply
    74,862x = 109,500 × 109,500
  4. Step 4: Simplify right side
    74,862x = 11,990,250,000
  5. Step 5: Solve for x
    x = 11,990,250,000/74,862
  6. Step 6: Final answer
    x = 160,164.70

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.