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Finding the Third Proportional to 114,682 and 177,135

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Solution

The third proportional to 114,682 and 177,135 is: 273,598.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,682 : 177,135 = 177,135 : x
  2. Step 2: Convert to fraction form
    114,682/177,135 = 177,135/x
  3. Step 3: Cross multiply
    114,682x = 177,135 × 177,135
  4. Step 4: Simplify right side
    114,682x = 31,376,808,225
  5. Step 5: Solve for x
    x = 31,376,808,225/114,682
  6. Step 6: Final answer
    x = 273,598.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.