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Finding the Third Proportional to 103,635 and 160,509

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Solution

The third proportional to 103,635 and 160,509 is: 248,594.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,635 : 160,509 = 160,509 : x
  2. Step 2: Convert to fraction form
    103,635/160,509 = 160,509/x
  3. Step 3: Cross multiply
    103,635x = 160,509 × 160,509
  4. Step 4: Simplify right side
    103,635x = 25,763,139,081
  5. Step 5: Solve for x
    x = 25,763,139,081/103,635
  6. Step 6: Final answer
    x = 248,594.96

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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.