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Finding the Third Proportional to 52,207 and 79,039

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Solution

The third proportional to 52,207 and 79,039 is: 119,661.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,207 : 79,039 = 79,039 : x
  2. Step 2: Convert to fraction form
    52,207/79,039 = 79,039/x
  3. Step 3: Cross multiply
    52,207x = 79,039 × 79,039
  4. Step 4: Simplify right side
    52,207x = 6,247,163,521
  5. Step 5: Solve for x
    x = 6,247,163,521/52,207
  6. Step 6: Final answer
    x = 119,661.42

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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.