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Finding the Third Proportional to 52,984 and 125,092

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Solution

The third proportional to 52,984 and 125,092 is: 295,334.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,984 : 125,092 = 125,092 : x
  2. Step 2: Convert to fraction form
    52,984/125,092 = 125,092/x
  3. Step 3: Cross multiply
    52,984x = 125,092 × 125,092
  4. Step 4: Simplify right side
    52,984x = 15,648,008,464
  5. Step 5: Solve for x
    x = 15,648,008,464/52,984
  6. Step 6: Final answer
    x = 295,334.60

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.