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Finding the Third Proportional to 83,035 and 128,926

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Solution

The third proportional to 83,035 and 128,926 is: 200,179.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,035 : 128,926 = 128,926 : x
  2. Step 2: Convert to fraction form
    83,035/128,926 = 128,926/x
  3. Step 3: Cross multiply
    83,035x = 128,926 × 128,926
  4. Step 4: Simplify right side
    83,035x = 16,621,913,476
  5. Step 5: Solve for x
    x = 16,621,913,476/83,035
  6. Step 6: Final answer
    x = 200,179.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.