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Finding the Third Proportional to 124,614 and 186,881

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Solution

The third proportional to 124,614 and 186,881 is: 280,261.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,614 : 186,881 = 186,881 : x
  2. Step 2: Convert to fraction form
    124,614/186,881 = 186,881/x
  3. Step 3: Cross multiply
    124,614x = 186,881 × 186,881
  4. Step 4: Simplify right side
    124,614x = 34,924,508,161
  5. Step 5: Solve for x
    x = 34,924,508,161/124,614
  6. Step 6: Final answer
    x = 280,261.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.