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Finding the Third Proportional to 103,977 and 165,297

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Solution

The third proportional to 103,977 and 165,297 is: 262,780.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,977 : 165,297 = 165,297 : x
  2. Step 2: Convert to fraction form
    103,977/165,297 = 165,297/x
  3. Step 3: Cross multiply
    103,977x = 165,297 × 165,297
  4. Step 4: Simplify right side
    103,977x = 27,323,098,209
  5. Step 5: Solve for x
    x = 27,323,098,209/103,977
  6. Step 6: Final answer
    x = 262,780.21

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.