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Finding the Third Proportional to 119,166 and 177,129

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Solution

The third proportional to 119,166 and 177,129 is: 263,285.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,166 : 177,129 = 177,129 : x
  2. Step 2: Convert to fraction form
    119,166/177,129 = 177,129/x
  3. Step 3: Cross multiply
    119,166x = 177,129 × 177,129
  4. Step 4: Simplify right side
    119,166x = 31,374,682,641
  5. Step 5: Solve for x
    x = 31,374,682,641/119,166
  6. Step 6: Final answer
    x = 263,285.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.