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Finding the Third Proportional to 51,416 and 75,189

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Solution

The third proportional to 51,416 and 75,189 is: 109,953.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,416 : 75,189 = 75,189 : x
  2. Step 2: Convert to fraction form
    51,416/75,189 = 75,189/x
  3. Step 3: Cross multiply
    51,416x = 75,189 × 75,189
  4. Step 4: Simplify right side
    51,416x = 5,653,385,721
  5. Step 5: Solve for x
    x = 5,653,385,721/51,416
  6. Step 6: Final answer
    x = 109,953.82

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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.