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Finding the Third Proportional to 56,145 and 118,619

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Solution

The third proportional to 56,145 and 118,619 is: 250,609.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,145 : 118,619 = 118,619 : x
  2. Step 2: Convert to fraction form
    56,145/118,619 = 118,619/x
  3. Step 3: Cross multiply
    56,145x = 118,619 × 118,619
  4. Step 4: Simplify right side
    56,145x = 14,070,467,161
  5. Step 5: Solve for x
    x = 14,070,467,161/56,145
  6. Step 6: Final answer
    x = 250,609.44

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.