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Finding the Third Proportional to 75,790 and 113,683

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Solution

The third proportional to 75,790 and 113,683 is: 170,521.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,790 : 113,683 = 113,683 : x
  2. Step 2: Convert to fraction form
    75,790/113,683 = 113,683/x
  3. Step 3: Cross multiply
    75,790x = 113,683 × 113,683
  4. Step 4: Simplify right side
    75,790x = 12,923,824,489
  5. Step 5: Solve for x
    x = 12,923,824,489/75,790
  6. Step 6: Final answer
    x = 170,521.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.