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Finding the Third Proportional to 79,463 and 128,429

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Solution

The third proportional to 79,463 and 128,429 is: 207,568.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,463 : 128,429 = 128,429 : x
  2. Step 2: Convert to fraction form
    79,463/128,429 = 128,429/x
  3. Step 3: Cross multiply
    79,463x = 128,429 × 128,429
  4. Step 4: Simplify right side
    79,463x = 16,494,008,041
  5. Step 5: Solve for x
    x = 16,494,008,041/79,463
  6. Step 6: Final answer
    x = 207,568.40

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.