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Finding the Third Proportional to 114,948 and 179,406

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Solution

The third proportional to 114,948 and 179,406 is: 280,009.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,948 : 179,406 = 179,406 : x
  2. Step 2: Convert to fraction form
    114,948/179,406 = 179,406/x
  3. Step 3: Cross multiply
    114,948x = 179,406 × 179,406
  4. Step 4: Simplify right side
    114,948x = 32,186,512,836
  5. Step 5: Solve for x
    x = 32,186,512,836/114,948
  6. Step 6: Final answer
    x = 280,009.33

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.