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Finding the Third Proportional to 129,914 and 190,263

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Solution

The third proportional to 129,914 and 190,263 is: 278,645.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,914 : 190,263 = 190,263 : x
  2. Step 2: Convert to fraction form
    129,914/190,263 = 190,263/x
  3. Step 3: Cross multiply
    129,914x = 190,263 × 190,263
  4. Step 4: Simplify right side
    129,914x = 36,200,009,169
  5. Step 5: Solve for x
    x = 36,200,009,169/129,914
  6. Step 6: Final answer
    x = 278,645.94

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.