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Finding the Third Proportional to 34,942 and 75,416

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Solution

The third proportional to 34,942 and 75,416 is: 162,771.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,942 : 75,416 = 75,416 : x
  2. Step 2: Convert to fraction form
    34,942/75,416 = 75,416/x
  3. Step 3: Cross multiply
    34,942x = 75,416 × 75,416
  4. Step 4: Simplify right side
    34,942x = 5,687,573,056
  5. Step 5: Solve for x
    x = 5,687,573,056/34,942
  6. Step 6: Final answer
    x = 162,771.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.