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Finding the Third Proportional to 103,866.50 and 169,588

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Solution

The third proportional to 103,866.50 and 169,588 is: 276,894.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,866.50 : 169,588 = 169,588 : x
  2. Step 2: Convert to fraction form
    103,866.50/169,588 = 169,588/x
  3. Step 3: Cross multiply
    103,866.50x = 169,588 × 169,588
  4. Step 4: Simplify right side
    103,866.50x = 28,760,089,744
  5. Step 5: Solve for x
    x = 28,760,089,744/103,866.50
  6. Step 6: Final answer
    x = 276,894.76

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.