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Finding the Third Proportional to 129,337.50 and 188,983.50

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Solution

The third proportional to 129,337.50 and 188,983.50 is: 276,136.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,337.50 : 188,983.50 = 188,983.50 : x
  2. Step 2: Convert to fraction form
    129,337.50/188,983.50 = 188,983.50/x
  3. Step 3: Cross multiply
    129,337.50x = 188,983.50 × 188,983.50
  4. Step 4: Simplify right side
    129,337.50x = 35,714,763,272.25
  5. Step 5: Solve for x
    x = 35,714,763,272.25/129,337.50
  6. Step 6: Final answer
    x = 276,136.18

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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.