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Finding the Third Proportional to 119,584 and 177,120

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Solution

The third proportional to 119,584 and 177,120 is: 262,338.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,584 : 177,120 = 177,120 : x
  2. Step 2: Convert to fraction form
    119,584/177,120 = 177,120/x
  3. Step 3: Cross multiply
    119,584x = 177,120 × 177,120
  4. Step 4: Simplify right side
    119,584x = 31,371,494,400
  5. Step 5: Solve for x
    x = 31,371,494,400/119,584
  6. Step 6: Final answer
    x = 262,338.56

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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.