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Finding the Third Proportional to 52,435.50 and 113,619

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Solution

The third proportional to 52,435.50 and 113,619 is: 246,193.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,435.50 : 113,619 = 113,619 : x
  2. Step 2: Convert to fraction form
    52,435.50/113,619 = 113,619/x
  3. Step 3: Cross multiply
    52,435.50x = 113,619 × 113,619
  4. Step 4: Simplify right side
    52,435.50x = 12,909,277,161
  5. Step 5: Solve for x
    x = 12,909,277,161/52,435.50
  6. Step 6: Final answer
    x = 246,193.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.