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Finding the Third Proportional to 125,416 and 194,272

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Solution

The third proportional to 125,416 and 194,272 is: 300,931.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,416 : 194,272 = 194,272 : x
  2. Step 2: Convert to fraction form
    125,416/194,272 = 194,272/x
  3. Step 3: Cross multiply
    125,416x = 194,272 × 194,272
  4. Step 4: Simplify right side
    125,416x = 37,741,609,984
  5. Step 5: Solve for x
    x = 37,741,609,984/125,416
  6. Step 6: Final answer
    x = 300,931.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.