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Finding the Third Proportional to 80,596 and 113,297

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Solution

The third proportional to 80,596 and 113,297 is: 159,266.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,596 : 113,297 = 113,297 : x
  2. Step 2: Convert to fraction form
    80,596/113,297 = 113,297/x
  3. Step 3: Cross multiply
    80,596x = 113,297 × 113,297
  4. Step 4: Simplify right side
    80,596x = 12,836,210,209
  5. Step 5: Solve for x
    x = 12,836,210,209/80,596
  6. Step 6: Final answer
    x = 159,266.10

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.