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Finding the Third Proportional to 119,186 and 176,718

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Solution

The third proportional to 119,186 and 176,718 is: 262,021.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,186 : 176,718 = 176,718 : x
  2. Step 2: Convert to fraction form
    119,186/176,718 = 176,718/x
  3. Step 3: Cross multiply
    119,186x = 176,718 × 176,718
  4. Step 4: Simplify right side
    119,186x = 31,229,251,524
  5. Step 5: Solve for x
    x = 31,229,251,524/119,186
  6. Step 6: Final answer
    x = 262,021.14

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.