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Finding the Third Proportional to 103,634 and 160,635

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Solution

The third proportional to 103,634 and 160,635 is: 248,987.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,634 : 160,635 = 160,635 : x
  2. Step 2: Convert to fraction form
    103,634/160,635 = 160,635/x
  3. Step 3: Cross multiply
    103,634x = 160,635 × 160,635
  4. Step 4: Simplify right side
    103,634x = 25,803,603,225
  5. Step 5: Solve for x
    x = 25,803,603,225/103,634
  6. Step 6: Final answer
    x = 248,987.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.