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Finding the Third Proportional to 58,304 and 125,824

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Solution

The third proportional to 58,304 and 125,824 is: 271,536.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,304 : 125,824 = 125,824 : x
  2. Step 2: Convert to fraction form
    58,304/125,824 = 125,824/x
  3. Step 3: Cross multiply
    58,304x = 125,824 × 125,824
  4. Step 4: Simplify right side
    58,304x = 15,831,678,976
  5. Step 5: Solve for x
    x = 15,831,678,976/58,304
  6. Step 6: Final answer
    x = 271,536.76

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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.