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Finding the Third Proportional to 58,304 and 125,525

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Solution

The third proportional to 58,304 and 125,525 is: 270,247.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,304 : 125,525 = 125,525 : x
  2. Step 2: Convert to fraction form
    58,304/125,525 = 125,525/x
  3. Step 3: Cross multiply
    58,304x = 125,525 × 125,525
  4. Step 4: Simplify right side
    58,304x = 15,756,525,625
  5. Step 5: Solve for x
    x = 15,756,525,625/58,304
  6. Step 6: Final answer
    x = 270,247.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.