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Finding the Third Proportional to 79,994 and 120,597

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Solution

The third proportional to 79,994 and 120,597 is: 181,809.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,994 : 120,597 = 120,597 : x
  2. Step 2: Convert to fraction form
    79,994/120,597 = 120,597/x
  3. Step 3: Cross multiply
    79,994x = 120,597 × 120,597
  4. Step 4: Simplify right side
    79,994x = 14,543,636,409
  5. Step 5: Solve for x
    x = 14,543,636,409/79,994
  6. Step 6: Final answer
    x = 181,809.09

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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.