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Finding the Third Proportional to 103,866.75 and 169,588.50

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Solution

The third proportional to 103,866.75 and 169,588.50 is: 276,895.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,866.75 : 169,588.50 = 169,588.50 : x
  2. Step 2: Convert to fraction form
    103,866.75/169,588.50 = 169,588.50/x
  3. Step 3: Cross multiply
    103,866.75x = 169,588.50 × 169,588.50
  4. Step 4: Simplify right side
    103,866.75x = 28,760,259,332.25
  5. Step 5: Solve for x
    x = 28,760,259,332.25/103,866.75
  6. Step 6: Final answer
    x = 276,895.73

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Why These Related Problems?

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