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Finding the Third Proportional to 103,677 and 165,050

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Solution

The third proportional to 103,677 and 165,050 is: 262,753.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,677 : 165,050 = 165,050 : x
  2. Step 2: Convert to fraction form
    103,677/165,050 = 165,050/x
  3. Step 3: Cross multiply
    103,677x = 165,050 × 165,050
  4. Step 4: Simplify right side
    103,677x = 27,241,502,500
  5. Step 5: Solve for x
    x = 27,241,502,500/103,677
  6. Step 6: Final answer
    x = 262,753.58

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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.