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Finding the Third Proportional to 51,206 and 79,473

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Solution

The third proportional to 51,206 and 79,473 is: 123,344.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,206 : 79,473 = 79,473 : x
  2. Step 2: Convert to fraction form
    51,206/79,473 = 79,473/x
  3. Step 3: Cross multiply
    51,206x = 79,473 × 79,473
  4. Step 4: Simplify right side
    51,206x = 6,315,957,729
  5. Step 5: Solve for x
    x = 6,315,957,729/51,206
  6. Step 6: Final answer
    x = 123,344.10

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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.