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Finding the Third Proportional to 58,213 and 125,698

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Solution

The third proportional to 58,213 and 125,698 is: 271,416.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,213 : 125,698 = 125,698 : x
  2. Step 2: Convert to fraction form
    58,213/125,698 = 125,698/x
  3. Step 3: Cross multiply
    58,213x = 125,698 × 125,698
  4. Step 4: Simplify right side
    58,213x = 15,799,987,204
  5. Step 5: Solve for x
    x = 15,799,987,204/58,213
  6. Step 6: Final answer
    x = 271,416.82

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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.