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Finding the Third Proportional to 119,799 and 179,700

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Solution

The third proportional to 119,799 and 179,700 is: 269,552.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,799 : 179,700 = 179,700 : x
  2. Step 2: Convert to fraction form
    119,799/179,700 = 179,700/x
  3. Step 3: Cross multiply
    119,799x = 179,700 × 179,700
  4. Step 4: Simplify right side
    119,799x = 32,292,090,000
  5. Step 5: Solve for x
    x = 32,292,090,000/119,799
  6. Step 6: Final answer
    x = 269,552.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.