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Finding the Third Proportional to 52,599 and 79,446

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Solution

The third proportional to 52,599 and 79,446 is: 119,995.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,599 : 79,446 = 79,446 : x
  2. Step 2: Convert to fraction form
    52,599/79,446 = 79,446/x
  3. Step 3: Cross multiply
    52,599x = 79,446 × 79,446
  4. Step 4: Simplify right side
    52,599x = 6,311,666,916
  5. Step 5: Solve for x
    x = 6,311,666,916/52,599
  6. Step 6: Final answer
    x = 119,995.95

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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.