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Finding the Third Proportional to 103,619.50 and 164,770.50

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Solution

The third proportional to 103,619.50 and 164,770.50 is: 262,009.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,619.50 : 164,770.50 = 164,770.50 : x
  2. Step 2: Convert to fraction form
    103,619.50/164,770.50 = 164,770.50/x
  3. Step 3: Cross multiply
    103,619.50x = 164,770.50 × 164,770.50
  4. Step 4: Simplify right side
    103,619.50x = 27,149,317,670.25
  5. Step 5: Solve for x
    x = 27,149,317,670.25/103,619.50
  6. Step 6: Final answer
    x = 262,009.73

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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.