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Finding the Third Proportional to 58,212 and 125,706

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Solution

The third proportional to 58,212 and 125,706 is: 271,456.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,212 : 125,706 = 125,706 : x
  2. Step 2: Convert to fraction form
    58,212/125,706 = 125,706/x
  3. Step 3: Cross multiply
    58,212x = 125,706 × 125,706
  4. Step 4: Simplify right side
    58,212x = 15,801,998,436
  5. Step 5: Solve for x
    x = 15,801,998,436/58,212
  6. Step 6: Final answer
    x = 271,456.03

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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.