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Finding the Third Proportional to 103,216.75 and 170,825.50

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Solution

The third proportional to 103,216.75 and 170,825.50 is: 282,719.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,216.75 : 170,825.50 = 170,825.50 : x
  2. Step 2: Convert to fraction form
    103,216.75/170,825.50 = 170,825.50/x
  3. Step 3: Cross multiply
    103,216.75x = 170,825.50 × 170,825.50
  4. Step 4: Simplify right side
    103,216.75x = 29,181,351,450.25
  5. Step 5: Solve for x
    x = 29,181,351,450.25/103,216.75
  6. Step 6: Final answer
    x = 282,719.15

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.