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Finding the Third Proportional to 114,955 and 177,353

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Solution

The third proportional to 114,955 and 177,353 is: 273,620.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,955 : 177,353 = 177,353 : x
  2. Step 2: Convert to fraction form
    114,955/177,353 = 177,353/x
  3. Step 3: Cross multiply
    114,955x = 177,353 × 177,353
  4. Step 4: Simplify right side
    114,955x = 31,454,086,609
  5. Step 5: Solve for x
    x = 31,454,086,609/114,955
  6. Step 6: Final answer
    x = 273,620.87

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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.