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Finding the Third Proportional to 103,637 and 122,561

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Solution

The third proportional to 103,637 and 122,561 is: 144,940.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,637 : 122,561 = 122,561 : x
  2. Step 2: Convert to fraction form
    103,637/122,561 = 122,561/x
  3. Step 3: Cross multiply
    103,637x = 122,561 × 122,561
  4. Step 4: Simplify right side
    103,637x = 15,021,198,721
  5. Step 5: Solve for x
    x = 15,021,198,721/103,637
  6. Step 6: Final answer
    x = 144,940.50

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.