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Finding the Third Proportional to 126,064 and 186,606

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Solution

The third proportional to 126,064 and 186,606 is: 276,223.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,064 : 186,606 = 186,606 : x
  2. Step 2: Convert to fraction form
    126,064/186,606 = 186,606/x
  3. Step 3: Cross multiply
    126,064x = 186,606 × 186,606
  4. Step 4: Simplify right side
    126,064x = 34,821,799,236
  5. Step 5: Solve for x
    x = 34,821,799,236/126,064
  6. Step 6: Final answer
    x = 276,223.18

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.