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Finding the Third Proportional to 83,298 and 129,018

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Solution

The third proportional to 83,298 and 129,018 is: 199,832.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,298 : 129,018 = 129,018 : x
  2. Step 2: Convert to fraction form
    83,298/129,018 = 129,018/x
  3. Step 3: Cross multiply
    83,298x = 129,018 × 129,018
  4. Step 4: Simplify right side
    83,298x = 16,645,644,324
  5. Step 5: Solve for x
    x = 16,645,644,324/83,298
  6. Step 6: Final answer
    x = 199,832.46

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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.