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Finding the Third Proportional to 52,561 and 79,388

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Solution

The third proportional to 52,561 and 79,388 is: 119,907.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,561 : 79,388 = 79,388 : x
  2. Step 2: Convert to fraction form
    52,561/79,388 = 79,388/x
  3. Step 3: Cross multiply
    52,561x = 79,388 × 79,388
  4. Step 4: Simplify right side
    52,561x = 6,302,454,544
  5. Step 5: Solve for x
    x = 6,302,454,544/52,561
  6. Step 6: Final answer
    x = 119,907.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.