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Finding the Third Proportional to 103,634 and 137,559

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Solution

The third proportional to 103,634 and 137,559 is: 182,589.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,634 : 137,559 = 137,559 : x
  2. Step 2: Convert to fraction form
    103,634/137,559 = 137,559/x
  3. Step 3: Cross multiply
    103,634x = 137,559 × 137,559
  4. Step 4: Simplify right side
    103,634x = 18,922,478,481
  5. Step 5: Solve for x
    x = 18,922,478,481/103,634
  6. Step 6: Final answer
    x = 182,589.48

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.