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Finding the Third Proportional to 119,634 and 177,138

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Solution

The third proportional to 119,634 and 177,138 is: 262,282.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,634 : 177,138 = 177,138 : x
  2. Step 2: Convert to fraction form
    119,634/177,138 = 177,138/x
  3. Step 3: Cross multiply
    119,634x = 177,138 × 177,138
  4. Step 4: Simplify right side
    119,634x = 31,377,871,044
  5. Step 5: Solve for x
    x = 31,377,871,044/119,634
  6. Step 6: Final answer
    x = 262,282.22

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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.