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Finding the Third Proportional to 119,226 and 176,788

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Solution

The third proportional to 119,226 and 176,788 is: 262,140.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,226 : 176,788 = 176,788 : x
  2. Step 2: Convert to fraction form
    119,226/176,788 = 176,788/x
  3. Step 3: Cross multiply
    119,226x = 176,788 × 176,788
  4. Step 4: Simplify right side
    119,226x = 31,253,996,944
  5. Step 5: Solve for x
    x = 31,253,996,944/119,226
  6. Step 6: Final answer
    x = 262,140.78

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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.