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Finding the Third Proportional to 83,303 and 129,026

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Solution

The third proportional to 83,303 and 129,026 is: 199,845.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,303 : 129,026 = 129,026 : x
  2. Step 2: Convert to fraction form
    83,303/129,026 = 129,026/x
  3. Step 3: Cross multiply
    83,303x = 129,026 × 129,026
  4. Step 4: Simplify right side
    83,303x = 16,647,708,676
  5. Step 5: Solve for x
    x = 16,647,708,676/83,303
  6. Step 6: Final answer
    x = 199,845.25

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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.